find the limiting value using L hospital

Answers

Answer 1

Answer:

-1

Step-by-step explanation:

The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.

d(log(x))/dx = 1/(x·ln(10))

d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))

Then the ratio of these derivatives is ...

lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x

At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.

d(-sin(x)cos(x))/dx = -cos(2x)

dx/dx = 1

so the limit is ...

lim = -cos(2x)/1

lim = -1 when evaluated at x=0.

_____

I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.

Related Questions

65 - 2x ≥ 150, whats the answer!!!

Answers

Answer:

x <= -42.5

Step-by-step explanation:

65 - 2x >= 150

-2x >= 150 - 65

-2x >= 85

2x <= -85

x <= -85/2

x <= -42.5

Is cell replication the same thing as DNA replication? Or are they two separate things

Answers

Answer:

Conservative. Replication produces one helix made entirely of old DNA and one helix made entirely of new DNA.

Semi-conservative. Replication produces two helices that contain one old and one new DNA strand.

Dispersive.

Step-by-step explanation:

Replication is the process by which a double-stranded DNA molecule is copied to produce two identical DNA molecules. DNA replication is one of the most basic processes that occurs within a cell.

Jenny went to the store with $10 and returned home
with 5 gallons of milk and $1.30 in change. What was
the cost of each gallon of milk?

Answers

Answer:

The milk is priced at $1.74/gallon

Step-by-step explanation:

If Jenny started out with $10 and ended up with $1.30 in change, she must have spent $10 - $1.30, or $8.70.

$8.70

Then the unit price for the milk is ---------- = $1.74 per gallon

5 gal

make v the subject of the formula t=4v+3

Answers

Step-by-step explanation:

t=4v+3

t-3=4v

(t-3)/4=v

hope this helps you.

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer: ≈ 26 lb

Step-by-step explanation:

11,800 grams x [tex]\frac{1 kilograms}{1000 grams}[/tex] x [tex]\frac{1 pound}{0.45kilograms}[/tex] ≈ 26 lb

a line has a slope of m=-2 and the point (3, -1) lies on the line.what is the represent the equation of the line in point slope form

Answers

Answer:

Step-by-step explanation:

To find out if a point (x, y) is on the graph of a line, we plug in the values and see if we get a true statement, such as 10 = 10.

Which is the best way to fix the following run on sentence

Answers

Answer:

Reasoning:

You should add a period to fix the run-on sentence because they're two different ideas. (They don't fit in the same sentence.)

a teacher brought to class a pack of notebooks. if her gives his students 5 notebooks to each, he will have 7 notebooks left. if he tries to give each student 7 notebooks, he will be 5 notebooks short. how many students are there in the class?

Answers

Answer:

6 students

Step-by-step explanation:

Let the number of notebooks be $x$ and the number of students be $y.$

If there are 5 notebooks per student, we have:

$x-5y=7$

Simliairly, we have 7 notebooks per person, which is:

$x-7y=-5$

Then, using system of equations, we can add multiply the first equation by $-1$ and then add.

We would have:

$-1(x-7y=-5)=-x+7y=5$

Then, adding gives us:

$2y=12$

$y=6$

There are 6 students in the class.

Let x represent the number of students that are there in the class.

The teacher her gives his students 5 notebooks each, and still has 7 notebooks left.

The number of note books = 5x + 7 (1)

The teacher her gives his students 7 notebooks each, and was 5 notebooks short.

The number of note books = 7x - 5 (2)

Therefore equating equations 1 and 2:

5x + 7 = 7x - 5

7x - 5x = 7 + 5

2x = 12

x = 6

There are 6 students in the class.

Find out more at: https://brainly.com/question/24169758

Can y’all figure this out while I help my fam hang up a chrismus tree :)

Answers

it’s C. Parsimony means extreme unwillingness to spend money or use resources.

what equations are equivalent to 60% of 25

Answers

Step-by-step explanation:

Since,

[tex]60\%25 = 15[/tex]

Another equation that equals 15 is

[tex]25 \times 0.6 = 15[/tex]

A Girl have 15 apples but she gave her friend 5 apples and ate 1 how many apples are left and show your work

Answers

Answer:

She has 9 left

Step-by-step explanation:

15 - 6 = 9

Hope this helps! Brainliest would be appreciated!

GEOMETRY PROOF!!!! please do fast as possible

Answers

hi,please quit school instead

Yeah you should just quick school

What is p^m multiplied by p^n equal to?

Answers

Step-by-step explanation:

p^m × p^n .....since the base is the same, add the powers

p^(m + n)

p^m + n

Question 3
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
There are 20 marbles in a bag: 8 purple, 5 gold, and 7 silver.
Part A: What is the probability that you select a silver marble? Reduce fractions if possible.
O
A) 20
O B)
O
c)
O D) 70

Answers

home within our geographic footprint.

Goals: Increase awareness of key homes for sale in our portfolio and generate traffic to the website for more information.

Step-by-step explanation:

the total is 8+5+7=20

the probabliliy that its gonna be 7/20

this fraction cannot be reduced

What is the area, in square centimeters, of the shape below? 3.7 cm 5.8 cm

Answers

Answer:

im pretty sure its 10.73, multiply 3.7 and 5.8 then divide 2

what is 18 kg in grams

Answers

Answer:

18 000

Step-by-step explanation:

One kg is 1000 grams. 18 kg are 18 x 1000 = 18 0000 grams.

18,000 because I’m like that Goated #yb better

HEEEEELLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!

Name my faviorate food and you get brainliest

Answers

Answer:

pizza , or KFC, chic fil a

pls give all numbers

Answers

Turkey dinner has to be zero as 0/? = 0 and it would be undefined if it was ?/0

Dinner plate would be 0 as ? * 0 * ? = 0

Radish is ?^2 cake as solving for radish will get that

Cake will be 4 as turkey is 0

Since cake is 4, radish is 16

Let’s plug them in to figure it out

0 / 4 = 0 ✅
16 * 0 * 4 = 0 ✅
4 = 16 / 4 ✅
4 / 4 = 0 + 1 ✅
0 + 16 * 4 = 64

Turkey = 0
Cake = 4
Radish = 16
Dinner plate = 0
? = 64

Will give brainliest if right

Answers

Answer:

2) Both are decreasing

5) Function I has a greater y-intercept than function II

Step-by-step explanation:

[] They both have negative unit rates / slope (m is the slope in y = mx + b)

[] -2 is larger than -6, so function I has a greater y-intercept than function II (b is the slope in y = mx + b)

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Solve for b, c and d

Answers

Answer:

Answer to B:

Answer to C:

-4

Answer to D:

Please help me with this homework

Answers

Answer:

Step-by-step explanation:

S=B+1/2Pl

-b from both sides

s-b=1/2Pl

x2 to both sides

2(S-B)=Pl

divide both sides by l

you get c

???????????????????plz

Answers

Answer:

right right

Step-by-step explanation:

2-(-4)/0-2

What is the answer?

Answers

Answer:

the would be m=4

Step-by-step explanation:

Ms Castillo took 40 minutes to drive from Town A to Town B at an average speed of 60 miles per hour. (a) Find the distance between A and B. (b) If she increased her speed by 12 mph, how long would she take to travel the same distance?

Answers

Answer:

40 miles, 2000seconds or 33minutes and 20 seconds

Step-by-step explanation:

a. multiple time by miles/hour -> 40*60/60=40 so 40 miles

b. 60+12=72 so her new speed is 72mph. next, to find the time we need to divide distance by 1/mph -> 40* 1/(72/60)=40*60/72=100/3 which is 2000seconds or33minutes and 20 seconds

f(c)=x²-3x
find f (-8)

Answers

Answer:

Step-by-step explanation:

Given function:

f(x) = x² - 3x

Find f(-8):

f(-8) = (-8)² - 3(-8) = 64 + 24 = 88

f(-8)

(-8)²-3(-8)64+2488

Sarah pays $48.00 each month to keep her house insured. If her house is valued at $223,050, about how much is Sarah paying per $100 in homeowners insurance annually? a. $0.13 b. $0.26 c. $1.55 d. $3.09

Answers

Answer:

The answer is B, $0.26

Step-by-step explanation:

$48 * 12 =$576

- 12 months in a year

$223,050 / $100 =$2230.50

$576 / $2230.50 =$0.26

dont know the answer pls help :(

Answers

Answer:

x=3

Step-by-step explanation:

7x-3=18

7x=18+3

7x=21

x=3

help ? lol..
i’m stuck on this

Answers

Answer:

24 ?

Step-by-step explanation:

I may be wrong but I believe the answer is 24 since she lost half of her CDs a week later. The number 6 is not important to the word problem as the only information we need in the amount she has left and the amount she lost. I may be wrong so please check the work again?

Answer:

18 CDs

Step-by-step explanation:

To find how many she started with, It says she lost half, meaning she had must have had 24. Because 12 is half of 12. If she lost half of 24, she would have 12 left. Before she bought 24, she had 6 less, because she bought meaning plus, 6. But to get the beggining, you do the oppisite, which is minus 6. So, 24-6 to get 18.

To make sure we are correct plug in 18. She starts out with 18. She buys, 6. So plus 6. 18+6 to get 24. But she then a week later lost half, leaving her with 12 CDs. By seeing this, we can tell, she did in fact, have 18 CDs to start out.

P.S wow she must really be dum b to lose an entire an entire 12 CDs in a couple hours.

Cuanto es ³/4 de cerezas

Answers

Answer:

3/8

Step-by-step explanation:

Leonard earned $100 from a bonus plus $15 per day (d) at his job this week. Which of the following expressions best represents Leonard's income for the week? (1 point)
15 + 100d
15d + 100
15 + d + 100
15 + 100

Answers

Answer:

...........

[tex]⟼15d + 100[/tex]

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Any invalid user entries should generate an appropriate message, and the user should be required to reenter the data.using System;using static System.Console;class GreenvilleRevenue{static void Main(string[] args){const int fee = 25;int lastYearsContestants;int thisYearsContestants;const int LOW = 0;const int HIGH = 30;int other = 0;int dancer = 0;int musician = 0;int singer = 0;WriteLine("**********************************");WriteLine("* The stars shine in Greenville. *");WriteLine("**********************************");WriteLine("");lastYearsContestants = getContestantsNum(message, LOW, HIGH);string[] contestant = new string[thisYearsContestants];string[] talent = new string[thisYearsContestants];getContestantsInfo(contestant, talent);for (int x = 0; x < talent.Length; ++x){if (talent[x] == "O"){++other;}else if (talent[x] == "S"){++singer;}else if (talent[x] == "D"){++dancer;}else if (talent[x] == "M"){++musician;}}Clear();WriteLine("Currently signed up, there are..");WriteLine("{0} dancers", dancer);WriteLine("{0} singers", singer);WriteLine("{0} musicians", musician);WriteLine("{0} everything else!", other);contestantByTalent(contestant, talent);Clear();contestantInfo(thisYearsContestants, lastYearsContestants, fee);}static int getContestantsNum(string message, int LOW, int HIGH){WriteLine("Please enter the number of contestants for last year.>>");string input = ReadLine();int contestantsNum = Convert.ToInt32(input);while (contestantsNum < LOW || contestantsNum > HIGH){WriteLine("Valid numbers are 0 through 30, Please try again.>>");contestantsNum = Convert.ToInt32(ReadLine());}return contestantsNum;WriteLine("Please enter the number of contestants for this year.>>");string input = ReadLine();int contestantsNum = Convert.ToInt32(input);while (contestantsNum < LOW || contestantsNum > HIGH){WriteLine("Valid numbers are 0 through 30, Please try again.>>");contestantsNum = Convert.ToInt32(ReadLine());}return contestantsNum;}static string getTalent(int contestantsNum){bool correct = false;string talentType = "";while (!correct){WriteLine("What is contestant " + contestantsNum + "'s skill? 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find the limiting value using L hospital​

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find the limiting value using L hospital