Answered: Even though the limit can be found… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 8E

See similar textbooks

Related questions

Question

4

Even though the limit can be found using the theorem, Limits of Rational Functions at Infinity and Horizontal Asymptotes of Rational Functions, use L'Hôpital's rule to find the limit.
x²
x-5
lim
X-5
Apply L'Hôpital's rule so that the lim
x²2-25
25
lim
X-5 X-5
= lim
x→5
²-25
X-5 X-5
is not an indeterminate form of the type 0 / 0.

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

For the limit lim x→4 . x2 −x−12/ x2 −3x−4, determine which of the following statements is true. Select the correct answer below: L'Hopital's Rule can be applied because the limit has the form +∞/+∞. L'Hopital's Rule cannot be applied because the limit has the form 0/0. L'Hopital's Rule cannot be applied because the function is a rational function. L'Hopital's Rule cannot be applied because the limit has the form +∞/+∞. L'Hopital's Rule can be applied because the limit has the form 0/0.
Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2)
When finding the limit lim x2 +5x+1/3-2x x-> infinity How do I find the limit?
Compute the exact value of the limits using the theorem on infinite limits. Make sure the correct notation is used and the work is shown. If the limit doesnot exist, state whether the function approaches negative infinity or positive infinity. 1. lim as x goes to negative infinity, x^3 - 16 divided by 4x^2 - 13x - 12 2. lim as x goes to positive infinity, x^2 - 2x + 5 divided by x - 6x^2
9. Find the value of a such that exists and find the limit. limx-> -1 (2x2-ax-14)/(x2 -2x-3)
Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−2 x3 + 8 x2 + 7x + 10 If the limit does not exist, say why. (If the limit does exist, so state.) The limit does not exist because the left and right limits exist but are not the same finite value.The limit does not exist because only one of the left or right limits exists as a finite value. The limit does not exist because one side diverges to ∞ and the other side diverges to −∞.The limit does not exist because it diverges to ∞ or −∞.The limit does exist and is a finite number.
Evaluate the Limits: a) limt->-1(t2+3t+2)/(t2-t-2) b) limx->9 (9x-x2)/(3-x1/2) c) limx->-inf (ex-e-x)/(ex+e-x) Do Not Use L'Hopital's Rule
Find the limit or determine that the limit does not exist limx→∞ (2-x)/(√4x2 + 13) 4x2 + 13 is all under the square root
Find the limit or determine that the limit does not exist limx→∞ (x2 +2x+1)/2-3x
Find the limit of lim((9+3x)1/2-3)/x as x approaches 0
What rational function satisfies these conditions? lim f(x)=10 (x-->3), lim f(x) =2 (x---> infinity) lim f(x) =2 (x --> -infinity), f(0) =2
1. If limit of f(x) -8/x-1=10 as x approaches 1, find limit of f(x) approaches 1 2. If limit of f(x)/x^2 = 5 , find the following limts, a) limit of f(x) as x approaches 0 and b) limit of f(x)/x as x approaches 0. 3. Show by means of an example that limit of ( f(x) +g(x) ) as x approaches zero may exist even though neither limit of f(x) approaches a nor limit of g(x) exists as x approaches a

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS