Evaluate the limit, if it exists. (If an answer does not exist, enter D lim (3 + h)-1 - 3-1 h h-0

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 3x2 - lim - x- 4 X-1 x + 1

A: Given limit is 0/0 form therefore by using L'Hospital's law we get

Q: Find the limit, if it exists.

A: limx→-∞x4-1x3-1=-limx→-∞x4-11-x3 We have limx→-∞x4-1=∞limx→-∞ 1-x3=∞ So by  L'Hospital's Rule, we…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 - 5x lim x5 x2- 4x -…

A: Given : limx→5x2-5xx2-4x-5

Q: x2 + 10x + 9 lim x→ -9 x2 + 8x – 9

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x2 4x lim х+

A: Given,

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 9 - 5 lim X→-4 x +…

A: As it is 0/0 form so use L. Hopital's Rule. In this rule we take derivative of numerator and…

Q: Please show work.

A: Given,

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) (-7 + h)² – 49 lim h-0

A: To evaluate , limh→0 -7+h2-49h

Q: Find the limit, if it exists.

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → 5   x2 + x −…

A: The given expression is,

Q: Evaluate the limit, if it exists. ( 6. lim t-0\ 을) tV1+t

A: We have to evaluate the limit: limt→09t1+t-9t Since it is ∞-∞ so simplifying  the limit, Taking 9…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 25 + h 5 lim h → 0 h

A:

Q: Find the limit, if it exists

A: Given limit:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x + 7x2 lim 8х

A: Given limit

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 – 4x + 3 X - 5 - lim…

A: The given expression of the limit is: limx→5x2-4x+3x-5

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (9 + h)-1 – 9-1 h→0

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 25 – 13 lim x--12 x…

A:

Q: Evaluate the limit, If it exists. (If an answer does not exist, enter DNE.) x2 - 8x lim X-1 x - 7x -…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 5 5 lim t-0 tV1 +t

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6 - Vx lim x→36 36x – x

A: To find:limx→ 366-x36x-x2

Q: Find the limit, if it exists.

A: x→-∞lim2x(x6-1)13This is ≡∞∞ form so L'Hospital rule will be applied.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (5 + h)³ – 125

A: Limits

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (-5+ h)² - 25 h → 0

A: Given query is to find the value of the limit.

Q: Evaluate the limit, if it exists. If not, enter "n" below. (4 + h)-1 – 4-1 lim h>0 h

A: Evaluate the limit  given that. Limh-0 (4+h)-1 - 4-1/h. In this we use L'hospital rule.( When become…

Q: Find the limit, if it exists. (1+h}l/3_ 1 lim h-0 Does not exist 1/3 3.

A: We will find the limit as following.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6 - Vx lim x-36 36x – x2

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 10x + 9 lim x → -9…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 lim 3x 40 x5 x 6x5

A: Factor numerator and denominator first.

Q: Evaluate the limit, if it exists. If not, enter "n" below. (6+ h)-1 – 6-1 lim h→0 h

A: The solution of given problem is :

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim ( h -3 + h)? – 9 h-0

A: solutionEvaluate the limit  h→0limit  -3+h2-9h

Q: Find the limit, if it exists.

A: Given: Let y=limx→-∞2xx6-113 To Find: To evaluate the given limit.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x4 - 8x2 + x x3 – x + 9 lim…

A:

Q: Evaluate the limit, if it exists. (If it does not exist, enter DNE).

A: Given:

Q: Evaluate the limit, if it exists. lim –x3 h (x + h)³ h-0

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, erter DNE.) V 25 + h - 5 lim h - 0

A:

Q: Evaluate the limit, if it exists.

A: The given expression is limt→-3t2-92t2+7t+3

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 + 3x – 10 lim X → 2 x2 -…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (8x + |x - 7|) x-7

A: We have to find limit

Q: Evaluate the limit, if it exists.

A: Our Aim is to evaluate the limit of the function given below:-limx→-1 2x2+3x+1x2-2x-3-(i)

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim + 9 – 5 X→-4 x + 4

A: This is a limit and continuity problem

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (-3 + h)2 - 9 h - 0…

A: Given limh→0-3+h2-9hWe have to evaluate the limitFormula used :-a-b2=a2-2ab+b2

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 – 10x + 24 lim

A: Given:

Q: Find the limit, if it exists.

A: It is given that, limx→∞xx2+1We have to find the limit,if it exists.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x + 5 lim X→-5 x + 125

A: given: a) limx→-5x+5x3+125b)  limt→03t-3t2+t

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 - (8 - 1—² x )…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  (h − 4)2 − 16…

A: Expand (h-4)2

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (4x + |x - 7|) X→7

A: The objective of the question is determine the limit.

Q: Evaluate the limit, if it exists.

A:

Q: find the limit, if they exist.lim x->a (x^2+x-6)/x+2

A: Here, two cases arises, if a=-2 ,then denominator of function is zero and limit does not existIf a…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.