Find the limit analytically. You must show your work. If the limit doe not exist, be sure to state why not, and be sure to use t 00 where applicable. lim (5[[x]]+3) x2-

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim (x3 −…

A: Given,

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: Find the limit. (If an answer does not exist, enter DNE.) x2 - 3x + 2 lim x- 1 X - 1

A: Here we have to find limit of given question.

Q: Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) 6x4 - 3x2 + 4 lim…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) ** 14) x + 14 lim X 14 X -

A: Given that, limx→14x+14x-14 We have to find the solution of the question.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) (-) 8 8 lim t→0 t2 + t

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x² – 6x +7 -x² + 6x – 11 if…

A:

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

A: To evaluate the limit of the function given.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (V 9x² + x - 3x) X- 00

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) 5x - 4 lim X 0 2x + 4

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (√25x² 25x² + x - 5x -…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) (36 +x - 6x) lim Xco

A: Given,

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² - 6x + 4 lim X→ 2 X-2

A:

Q: Find the limit analytically. You must show your work. If the limit does not exist, be sure to state…

A: Given: limx→-3x2-92x2+x-15

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 4x6_ X lim x →∞0 x³ +9

A: We need to evaluate the following limit limx→∞4x6-xx3+9

Q: Find the limit, if it exists

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 25 - t lim t- 25 5 - VE

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 10x 1. lim x-0.1- |10x3 –…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 11x + 18 lim X - 9

A: To find the existence of limit :

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

A: Given : limx→-5x2+5xx2-4x-45

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim f(x), where f(x) x² -…

A:

Q: Find the limit, if it exists. If it does not, enter "DNE" (2a + 2)(x - 5) lim 22 +2

A: Given limit is in the indeterminate form, just use the L'Hospital's rule and easily find the…

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.) x2 + 3x - 10 2 -4 lim +2

A:

Q: Find the limit (If It exists). (If an answer does not exist, enter DNE.) (x² - 4x +18, -x² + 4x -…

A: Put the condition for existence of a limit and cross check.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim 4x2 + x - 2x)

A: The standard formula for a limit as x --> infinity is,

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: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x + Vx2 + 6x X -00

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) X lim xả0x2+5x x²

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) Vx + 4 lim 4 x-12 X - 12…

A: topic - limits

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: b) Find the limit, if it exists, or show that the limit does not exist. 3x4 - 3y4 lim (x,y) (0,0)…

A:

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

A:

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

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 6 – |x|| lim 6 + x X→-6

A: Given limit ;

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 - 7x + 6 lim X → 3 x…

A: To evaluate , limx→3x2-7x+6x-3

Q: Find the limit. (If the limit is infinite, enter 'a' or '-s', as appropriate. If the limit does not…

A: Solve for the limit

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 7x + 6 lim х— -6 х*…

A:

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 using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 3 +…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−7  x2…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE. lim 7etan(x) x- (1/2)+

A:

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: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x3 + 64 lim x-4 x + 4

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim t-* 3t - 2

A:

Q: Evaluate the limit and justify each step by indicating the appropriate  Limit Law(s)

A: Evaluate: limx→8 1+x32-6x2+x3

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

A: To determine:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (x2 – 4x + 6, 1-x² + 4x –…

A: Here we find limx→7fx       where fx=-x2+4x-2, x≥7x2-4x+6  x <7if it exist

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.