aim(-4) 3) lim - -16 16-1) + lim++ sin(v

Q: (4). lim x2 +1-x

A:

Q: -2x 8 Which of the following is equal to lim r2 16 -

A:

Q: Find the limits

A:

Q: atua 8r? - Зх + 4 lim I 00 2x2 + 7x

A: We are asked to find the limit

Q: 2-√x lim x-2 4-x²

A:

Q: 3.) lim r/z2

A: let t=x1x2ln(t)=1x2ln(x)t=e1x2ln(x)in the question it is asked to find the limit of t when x tends…

Q: 3 Find: Lim. 3+1

A: Given limz→1+iz2+1z2-1

Q: tan? 3.x lim x→0 4x2

A: Given: limx→0tan23x4x2

Q: 3 23. lim х—3 х — 3 X→3

A:

Q: What is the value of x² – 9x + 20, lim r→4 x² + 2x

A:

Q: lim 0 1-Ca52X 2.

A:

Q: find L1=lim 23+i !-2 !+2

A: Topic:- calculus

Q: sin(Va-4) lim -16 16(-1)

A: For any real value of b, the expression, limx→bx is defined aslimx→bx =b . If limx→bf(x)g(x) takes…

Q: If lim,--2+95; (z + 4z) = x + iy, what is the value of x - y?

A:

Q: 5. lim (Vx2 +x + 1 -

A: We have limx→∞x2+x+1 -x

Q: The value of lim (-x² + 5x – 2) I-2 is O a 10 b 12 O c 4 d 6

A: The given limit is limx→2(-x2+5x-2)

Q: 1-lim r. In r Answer =1/2

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

Q: x² + 3x 14. lim x→4 x² - x – 12

A:

Q: For * + 3. lim (02)-(0,0) :? O A. -2 В. 2 C. Does not exist. D. 0

A:

Q: Find the limit

A:

Q: 1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

A: (a) Given information: limx→1-1-x2x-12 To determine the limits first simplify,…

Q: lim z7 I -7

A: We are asked to evaluate the limit .

Q: Vx² +9 – 3 lim 2

A: Given  limx→0x2+9-3x =limx→0 x2+9-3x2+9+3xx2+9+3         multiplying x2+9+3 on numerator and…

Q: Evaluate:

A:

Q: (2x+1)²-5 lim =? х-0о 2х2+х-1 30 -1

A:

Q: learly justify answer. lim (3x – 6) sin X -2 В.

A:

Q: 1 lim t→0 \tV1 + tt, t 0

A:

Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

A:

Q: Then Lim (x fCX)-5) ?

A: Given limx→24fx=12 We will find the value of  limx→2xfx-5

Q: lim Va? + 8 +1- r .2 I00

A: Given- limx→∞x2+8x+1-x To find- The value of the limit Concept Used- the above expression can be…

Q: lim 2. e

A:

Q: т? + 2х — 15 - Find lim x→3 x2 – 9 - Answer %3D

A:

Q: Justification Needed 4/8 k² n lim k=1 n² Vn² + k² k=1 _N

A:

Q: lim (x,y)→(0,0) x² – y? x2 + xy + y? II

A:

Q: Ass 1. lim t2-4 tウ-2 t2+st+ 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: lim (x -Vx?+16

A: To evaluate: limx→∞x-x2+16 which is (∞-∞) form. So,  converting the above limit into ∞∞ form.

Q: 40n“ + 60n + 20 lim lim Rn 3n2

A:

Q: 9 lim + -8-+ I+8 1² + 7x –8,

A: The given expression is:limx→  -8-x+7x+8+9x2+7x-8

Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: 2. Lim Z2-1 / Z2+3Z-1

A: 2. Given,                 limZ→-16Z2-1Z2+3Z-1=?

Q: If lim (a.) 2 (b.) 4 L(C.) 16 (d.) 64 1+ cx 4, then lim (1+2cx 1-2cx, IS

A: The given limit is: limx→01+cx1-cx1/x=4. To Evaluate: limx→01+2cx1-2cx1/x.

Q: 9q² – 4 – /17+ 12q lim q→-1 q² + 3q + 2

A: We need to evaluate limit. When a limit is in undefined form we may find it by applying L'hopital…

Q: Which of the following is your solution to lim Vx² +2 = ? x-0 3x -6 O 1/3 O -3 O -1/3 O 3

A: Given  The limit expression is  limx→∞x2+23x-6 .

Q: 16-4" lim x→2 with out lophit

A: Given limx→216-4x9-3x

Q: 2x So" et (c) lim (d) lim (3r +e") 2

A:

Q: tan2x 3)- lim,-o 3x

A:

Q: 3i - lim t-25 (t – 20)2

A: We substitute t=25 in the given expression

Q: 22 - r - 2 4. lim 40 r – 6r² – 7r+1

A:

Q: lim (x2-4) x-2 x-2 7-,

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: