Vx +1 – 2 lim x→3 x – 3

Q: x²-2xy+5y²+1 lim (x,y)→(0,0) 3x²+4y²+2

A:

Q: e* – 1 lim V1+x -1 x→0

A:

Q: + xy² + y³ x2 + 7y² 2x3 b) lim (x,y)→(0,0)

A:

Q: x V1+t?dt lim x+2 =? х2—4

A: Given the term : limx→2 x ∫x21+t2dtx2-4 We need to evaluate it.

Q: 2. 2xy lim (x.y)-(0,0) x² + 2y6

A:

Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: 4xy (d) lim (x,y)(0,0) x +y 2.

A: Given  Change to polar coordinates

Q: (b) lim (z.y)→(0,0) Vr4 + y3 +1–1

A: limit of the rational function

Q: Find lim "(x.y)→(0,0) (4 + (x² + y? ) In(x² + y² )) Dose not exist O 1 4

A:

Q: Vx +1 vx+3 lim det Vx +1

A:

Q: 2x lim x→0 Vx + 1 – 1

A: Given limit expression is limx→02xx+1-1.

Q: Q4 / Vx+1–1 A ) Find limx→0

A:

Q: X (b) lim 0 DO (c) lim xln 1

A: (b). Given: limx→0+lnxx

Q: x4-16y+ lim (x,y)¬(2,1) x²–4y2

A:

Q: A. MCQS: I. LIMITS (2x+7x+6 3x2+5x-2. 1. lim-2 ( - 2. lim,-2 x+2 A.0 B. C.D. co A. 0 B. 4 C. 12 D.…

A:

Q: 2x*y lim (x,y)→(0,0) x8 + 6y²

A:

Q: 2t dt = 1 – t4 lim x→1- A) B) 2 C) 0. D) 1. 1

A: Given limx→1-∫0x2t1-t4 dt

Q: (x²y3 - 5y2) lim (x, y) →(4, 2)

A: Given that, There is an expression of limit is following, lim(x, y)→(4, 2)(x2y3-5y2) We have to find…

Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

Q: lim x-4y (x,y)- (0,0) 6y+7x .A does not exist.

A: To calculate the given limit: limx,y→0,0x−4y6y+7x

Q: x-y+7Vx - 7Vy lim Vx - Vy (x,y)→(0,0) x+y

A:

Q: Vx+4 -2 1 limx¬0 ||

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: (c) lim v f(x) x→2

A:

Q: x²+x y-2y lim (x,y)→(4,16) x- Jy

A:

Q: Vx+1- /2x x² - x 2х f ) lim x→1

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: lim y approaches 0  ................... [5y3 + 8y2]/[3y4 - 16y2]

A: Consider the given function as limy→05y3+8y23y4-16y2

Q: X-4y lim (x, y)- (0,0) 6y+7x

A: limx,y→0,0x-4y6y+7x Take the path y=mx, then as x→0, y→0 limx→ox-4mx6mx+7x limx→ox1-4mx6m+7…

Q: 5x - 5y2 lim (z.y) (0,0) 7z+7y () Limit DNE 0. O 5/7 O 5/7

A:

Q: Along the path x = e find lim (2,y)→(1,0) y²+6zy 3x-y-3

A: To evaluate the given limit: lim(x,y)→(1,0)y2+6xy3x-y-3 along the path x=ey. Here,…

Q: xy – Y lim (2,y)(1:0) x2 + y² – 2x + 1

A: We have to solve given problem:

Q: lim, (V+x+1 - V+1) – Vx² x* + 1

A:

Q: x° +2y² +x*y lim (* ,y') → (0, 0) x* +3y - x*y

A:

Q: lim (x,y)→(1,–1) eV3x²+4y?

A:

Q: xy+yz b) lim (xy2)-(0.0.0) x+y2+2

A: To find the limit: L=lim(x,y,z)→(0,0,0)xy+yzx2+y2+z2

Q: x² + y² lim (x, y)→(0,0) V – 1 x² + y² + 1

A: Given: Let L=limx, y→0, 0 x2+y2x2+y2+1-1 To Find: To evaluate the given limit.

Q: Find the limit.

A: We have to find the given limit

Q: xy lim (2,y)→(0,0) x³ + y²

A: Solution is given below..

Q: xy + 1 lim (x, y)→(1, −1) x² − y²

A:

Q: x2 – x – 12 lim 2. Evaluat" t→4 3x – V16 – x

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: f(x) = 6x² - 3x %3D f(1+h)-f(1) lim ん h→0

A:

Q: x*-16y* lim 14. (r,y)→ (0,0) x2 +4y2 xy 15. lim (x,y) (0,0) 3x² +2y2

A:

Q: Vx - Jy +1 lim (x ,y )→(4,3) x -y -1

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: e2x -1 (1) Lim y² – y-6 (2) Lim yー2 y -4 Vx-3 (3) Lim xー→9 1 1 x 9

A: Given: limx→0e2x-1x, limx→-2y2-y-6y2-4, limx→9x-31x-19 We know that limx→0ekx-1kx=1…

Q: Find the limit

A:

Q: 2x (1) lim x→0 3– vx+ 9 -

A:

Q: dx X XP (x - 1)ule a-1 lim

A: Given limit lima→1∫0aln1-xxdx. The objective is to evaluate the limit.

Q: Show that (x + 1)² sin y lim (x,y)→(−1,0) (x+1)4 + y² does not exist.

A:

Q: (x + x)T 3 - x) dx = lim n- 0o n If where a, B and y are positive integers, then a + B +y = зо 20 16…

A: Given, ∫-21x2+xdx Here, a=-2 and b=1 We know that, ∆x=b-an=1--2n=3n and xi=a+i∆x

Q: x2-2xy lim (x,y) - (2,1) x²-4y2 .A .B 1 .C 1 .D 1 4

A: We have to evaluate the following limit. lim(x,y)→(2,1)x2-2xyx2-4y2