lim (х, у) (-1, 1) (х + 4у? + 5)

Q: Find the limit and discuss the continuity of the function.

A:

Q: Vx+1 - 3 4. Find the limit (if it exists). lim %3D X-8

A:

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: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) -1 lim (-6 +h)-¹ + 6-1…

A: L'Hospital rule:- If limx→0f(x)g(x) is of the form 00 then limx→0f(x)g(x)=limx→0f'(x)g'(x)Continue…

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given: gx=1-x,       x≤1 gx=x+1,          x>1 The limit limx→1+gx is the right hand limit at…

Q: Find the limit, if it exists.

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: lim∆x→0+x+∆x2+x+∆x-x2+x∆x

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. I V x + 3x2 7x - 1 lim

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given data:   *The function f(x) is f(x)=x+2/2, when x<3. *The function f(x) is f(x)=12-2x/3,…

Q: x2 – 1 lim а—1 х — 1

A: We have  Limit exist as number and the number is 2.

Q: Find the limit by rewriting the fraction first х-у+13x- 13/у lim Vx - Vy (х,у) -> (0,0) x+y

A: First of all break the fraction then apply limits

Q: Find the limit. lim (x, y) -(1,-10) y#-10 y+10 x2y + 6y + 10x2+60

A: Given limit, lim(x,y)→(1,-10)y+10x2y+6y+10x2+60

Q: 5h+4-2 Find the limit of : limħ=o

A:

Q: - What is the limit of lim 5*? X--00 A. -00 В. О С. 1 D. +00

A: limx→2 x3+13=23+13=93=33=1

Q: Find the limit (if it exists) lim                t2+t-2/t2-1 t-->1

A: First we factor numerator and denominator

Q: Find the limit and discuss the continuity of the function.

A: Evaluate lim(x,y)→(2,4)x+yx2+1

Q: The limit lim (x,y) →(-2,-5) exists and is equal to -20. Select one: O True O False 25x²-4y² 5x-2y

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

Q: Calculate the limit algebraically. If the limit does not exist, say why. x? + 8 lim x-2 x + 3x + 2…

A: we have to find the limit of the given expression

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A:

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 one-sided limit (if it exists).

A: We will make a table for the values of x on the left side of x=1 x y 0.9 -36.1 0.99 -396.01…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE. lim (7.r – [[x]]) - I-4+

A: Given,           limx→4+ 7x-x

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

A:

Q: Evaluate the limit, if it exists.

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

Q: Compute the limit if it exists, otherwise show your reason why the limit does not exist. |22 – r|…

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: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: (b).   limx→0 x2+a2-ax2 ;      a>0

Q: Find the one-sided limit V4 - y? lim y -2+ y + 2

A: Given: To find

Q: Evaluate the limit, if it exists. lim((3/(y2+y))- 3/y) y-->0

A: To determine the limit of function, if exists.

Q: Find the limit, if it exists. If the limit does not exist,explain why.

A: Given information: limx→ 0.5-2x-12x3-x2

Q: 4. Find the limit (if it exists). 4x+4-3 r-5 im b. C. C. Limi docs not exstL

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - 49 lim t--7 212 +…

A:

Q: Find the limit. lim V+3

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

Q: x - y + 2Vx – 2/y lim (xy)-(0,0) y+x 'y

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 an answer does not exist, enter DNE.) (x + Ax)2 – 2(x + Ax) + 4 - (x2 - 2x + 4)…

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 lim(2,y,2)->(0,0,0) 6+y+826

A: To find the limit

Q: Find the limit, if it exists.

A: Find the limit, if it exists.

Q: Find the limit lim (z + 7i)?. 2-2-5I

A: Consider limz→2-5iz+7i2 = 2-5i+7i2= 2+2i2= (2)2+(2i)2+2(2)(2i)= 4+4i2+8i= 4+4(-1)+8i= 4-4+8i= 8i

Q: Evaluate the limit, if it exists.

A:

Q: Find the limit if it exists. x²+5x+6 Lim,→-3 a+3

A:

Q: Find the limit, if it exists, or show that the limits does not exist. a) lim (x5 + 4.x³y – 5a²).…

A: Given lim(x,y)→(5,−2)(x5+4x3y−5x2)

Q: The limit lim (x,y)→(-1,2) (x²y − 3xy²) = −8 - Select one: True False

A:

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: Let L is the value of given Limit.

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.