Find the number a such that the limit exists. 3x2 + аx +а+ 3 lim X--2 x2 + x – 2 a = Find the value of the limit.

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

A:

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

A: Given,

Q: 2x2+3x+1 Find the indicated limit if it exists: lim,0 x4-x2

A: We have to evaluate the limit limx→∞2x2+3x+1x4-x2.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−5    25 − x2 5x2 + x3

A: We need to find the value of given limit.     limx→-525-x25x2+x3

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5  t2 − 3t −…

A:

Q: Find the limit. Or, say it does not exist (DN E). x- 3 2) lim X-9 X-9

A:

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x2 lim (x, y) - (0, 0) (x2 +…

A: From the given problem: limx,y→0,0x2x2+3y2+3

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim(x,y) -->(0,0)…

A: Given limit : lim(x,y)→(0,0)xy4(x2+y8) we have to find , the limit if it exists

Q: Find the limit. lim 1-4(t i-8j+t² k)

A:

Q: Find the limit , if it exist x-13 lim |x-13| a=13. X-a O a. D.N.E O b. 1 Oc. -1 O d. 0

A: Solve limit

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x³ – 64 lim…

A:

Q: Decide whether the limits exist. If a limit exists, find its value.

A: To find: limx→∞x2+6x+8x3+2x+1

Q: Find the limit, if it exists. 1 lim x-1 x-1 Select one: A. 4 B. Does not exist C.2 D.0

A:

Q: Find the limit, if it exists. lim x4-1 X-1 х-1 Select one: А.О B. Does not exist С. 2 D. 4

A:

Q: Find the limit. (a) lim 1- 2x 3 *-2 (b) lim (c) lim .2 3. - X . /レ r o X +x

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the limit (if it exists). If it does not exist, enter NONE. 12 - 8.r +8 -2 + 8x +8 if x > 8 if…

A: the given function is: f(x)=x2-8x+8              if x<8-x2+8x+8          if x≥8 we have to find…

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

A: The limit is solved below.

Q: x´ +2x –15 c) lim x→3 x-6x+9

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→3 f(x), where f(x) =…

A:

Q: 4 – 5x5 Find the limit lim x – 7 Enter I for o, -I for -o, and DNE if the limit does not exist.…

A:

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

A: To find the limit at first divide numerator and denominator by x (or take x common from numerator…

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

A:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A:

Q: Find the limit L. Then use the &-8 definition to prove that the limit is L. a) lim (4x+5) b) lim]x-…

A:

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

A:

Q: Q2/a. Find the Limit x2 – 4 lim x-2 x - 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 the limit is infinite, enter 'oo' or '-co', as appropriate. If the limit does…

A:

Q: x" -1 :? x+1Vx -1 For a positive number nEN, what is the value of the limit lim-

A: On substituting x=1 in limx→1 xn-1x-1 tends to 00 (Indeterminate) form So upon applying L-Hospital…

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

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) X - 8 lim x - -00 + 6 Find…

A:

Q: Find the limit L. Then use the &-8 definition to prove that the limit is L. lim (x2 + 8) x-1

A:

Q: 9. Find the limit if it exists, either as a number or an infinite limit. lim (Vx? + 3x +7 – x)

A:

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: Find the limit, if it exists, or show that the limit does not exist. a) lim (x,y)→(0,0) 3x2+2y2/…

A: (a)-lim(x,y)→(0,0)(3x2+2y2x+1)Put the value (x,y)=(0,0)lim(x,y)→(0,0)(3x2+2y2x+1)=302+2020+1=0…

Q: Find the limit. (If an answer does not exist, enter DNE.) 7(x+Ax)- 7x lim Ax-0 Ax

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 4 4 x + Ax lim Ax-0* Ax

A:

Q: Find lim I→1 x² – 1 Enter inf for oo, -inf for -00, and DNE if the limit does not exist. Answer:

A: In such kind of limit we substitute the value of the limit with sign and then evaluate the…

Q: Find the limit, if it exists. x² lim X-5 000 A. B. - 2x - 15 X +3 -8 5 C. 0 D. The limit does not…

A:

Q: Q1. Find the limit of the function if it exists x² + y² – 2xy lim (x.y)-(0,0) у3 — х3

A: We have to check whether the limx,y→0,0x2+y2−2xyy3−x3 exists or not. Convert the polar coordinates…

Q: Find the limit, if it exists, or show that the limit does not exist. 2 x² - 3y² lim (x,y)→(0,0) x² +…

A:

Q: Find the limit, if it exists, or show that the limit does not exist. 3x²+2y2 2x*y+2 a) lim…

A: now , we will find the limit .

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: Find the limit (if it exists). (If an answer does not exist, enter DNE.) -{ x – 4x +1 -x? + 4x – 5…

A:

Q: Find the number a such that the limit exists. 4x2 + ax +а+ 12 lim X→-2 x2 + x – 2 a = Find the value…

A:

Q: find the limit or explain why it does not exist

A: a. Given that limx→0 x2+xx5+2x4+x3. Compute the limit as follows. limx→0 x2+xx5+2x4+x3=00  I.F Apply…

Q: 3x' +7x² +6 lim 2. e) 3. -5x' +8x

A:

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

A: Solution: The objective is to find the value of the given limit

Q: d the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 8x2 - 6x - 5…

A: Topic:- limits

Q: 3. Find the limit, if it exists, or show that the limits does not exist. d) lim (1,y)¬(0,0) xª + y²°

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.