2. Evaluate the limit if it exists: lim v(x-5)-2 x+ 9 x-9 с. 1 lim 1/x-1/2 x+2 x-2 a. 1/4 b. -1/4 d. 0 e. DNE . Evaluate the limit if it exists: a. 1/4 b. -1/4 с. 1 d. -1 e. DNE . Evaluate the limit if it exists: lim tan-'x sin'x+1 c. 1/2 b. 1/4 d. T/2 T/2T+4

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(2, 1) (8x3 −…

A: lim(x,y)→(2,1)8x2-x2y2=8(2)3-(2)2(1)2

Q: Compute the limit, or show that it does not exist: lim (x,y)→(0,0) x³y? + x²y³ x4 + y4

A: To Determine :-  Compute the limit or show that it does not exist : lim x , y →  0 , 0 x3 y2 + x2…

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

A:

Q: Find the limit, if it exists, or type N if it does not exist. lim(x,y)→(0,0)  2x^3+2y^3/x^2+y^2

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim 5 5 + x x--5

A:

Q: 1) Find the Limit lim/→0 3x²h-7th+h h

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Q: Find the limit lim Vz +1 Enter I for o0, -I for-oo, and DNE if the limit does not exist. Answer

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

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Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) X + 4…

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: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞  √(x+3x^2)/2x-1

A:

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

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→ (0, 0) x² + y8

A: Given: limx,y→0,0xy4x2+y8 To find the limit if it exists or to determine exists or not. Limits in…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х — 8 lim X → -0 x + 6

A: We have to evaluate the limit

Q: If the limit does not exist, say why. (If the limit does exist, so state.) -The limit does not exist…

A:

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: Evaluate the limit, if it exists. If a limit does not exist, type "DNE". V4 + h - 2 lim h>0

A:

Q: Find the limit if it exists, or show that it does not exist. xy lim (x,y)→(0,0) x² + y8

A:

Q: Evaluate the limit if it exists, or show that it doesn't exist: (x + 3) e"! lim (2,1)(0,1) y+1

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х — 7 lim x- -00 x2 + 4

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim ху (x, y) (0, 0) x²+ y8

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x to 0 (9x^2 - 6x / x)

A: We first factor the numerator

Q: Find the limit, if it exists. (I |x + 2| lim x--2 5x + 10

A: Given, The limit limx→-2x+25x+10  We have to find the limit.

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

A: Given expression is We need to find its limit as x approaches -2-

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) +6 - уб lim (x, y)→ (0,0) x3…

A:

Q: Find the limit, if it exists, or show that the limit does not exist: lim (x,y)→(1,-1) 3-xy cos(x +…

A:

Q: lim x + 1 - 2 x→3 х — 3

A: We need to find the limit if it exists

Q: Find the value of the limit lim (a) -1 (b) 1 (c) 1/e (d) 0 (e) - a

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Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) x + 7…

A:

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 1 lim X→-8+ X + 8

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

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

A:

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

A: Find the limit

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x – 1 lim x- -0 x2 + 5

A:

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, 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: X- Find the limit. lim x-→I X-1 tto

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Q: Find the limit, if it exists. lim x+ 00 ex O A. ex O B. - 0 O c. 0 O D. o

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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…

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Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) -3 lim x-4-(x-4)²

A:

Q: 1. Find the limit, if it exists, or show that the limit does not exist. 3xy lim (x,y)→(0,0) x² + y*…

A: Given that, To check limit exists or not, check limit along different paths. i) Limit along…

Q: Please

A: Given limit is By L'Hopitals' Rule, we have

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) lim (6x…

A: limx→1- (6x-4)put x→1- in given equation then we get6(1-) -4

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

A: To find limx→ -14x+4x+1

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) Sx2 - 4x + 6, X < 3 lim…

A:

Q: Find the one-slided limit (If it exists). (If the limit does not exist, enter DNE.) -6 lim x-4 (x-…

A: Given limx→4- -6(x-4)2 Apply the constant multiple rule limx→4- c f(x) = c limx→4-f(x) with c=-6…

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

A: The limits of the function will give the value of the function near the point. The limit does not…

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

A: The given limit is lim(x,y)→(0,0)xyx2+y2. Substitute x=rcosθ,y=rsinθ in the above equation.…

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

A: