x + x³ – 2x+1 2.x4 – 3x3 + 5x2 + 1 - Find lim Find lim (Vr² – 2x + x). r -00

Q: Vx- 3 - 3 6. Find lim x→12 X-12 %3D

A: Given limit is  Firstly, we will multiply both numerator and denominator by sqrt(x-3)+3

Q: x2 - 4x- 12 . Evaluate: limx-0 x2 - 4

A:

Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

Q: a. limx0 Tn(x) ex+x b. limr-0 2ex+x2 2e*+x2 In(x) c. limx-0+

A: Given; a) limx- infinity x/ln(x) b) limx- infinity (ex+x)/(2ex+x2) c) limx- 0+ln(x)/(1/x).

Q: Vx+8-3 Evaluate ' lim-1 x+1

A:

Q: Find the indicated limit. a) V3x+5-V5 lim a) b) x*+2x3-15х2 lim х-з х3+2x2-9х-18 b)

A: As per our policy we have to do only single question.  A) 3/(2√5)  B) 12/5

Q: V1+x-1 lim

A:

Q: 8x10+2x-3 4. Find lim using rules for limits at infinity.

A:

Q: Evaluate the limit: 2x – 6 lim I+3 r2 + 2x - 15

A:

Q: Q. 1. Evaluate the following -x* +3x +5x –-18 lim a) 5x2 – 2x-0.5 Vx² +15 - 4 b) lim- x-1

A: Part a,Given,          limx→∞-x4+3x3+5x-185x2-2x-0.5

Q: x²y Find the lim (x,y)→(0,0) x4+y2 '

A: Find the limit

Q: -y² \2 Find lim(æ,9)–(0,0) ( )- 2

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Q2: Find: 3-8 b)lim 8-2x a) lim x-2 5-Vx2+9 x-2 x-16

A: There are some forms in mathematics which cannot be determined. These values are still not known;…

Q: 12h + 1 - 1 Find lim

A: Given:

Q: 1. Evaluate. x'- 2x +12 a) lim x² +1 x² -8x + 7 b) lim- x-7

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

Q: 5x + 4 Find lim X2 x - 3

A:

Q: V3x2+6 Evaluate lim x--0 5-2x

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: Snsh-2h Lim

A: To find the limit

Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

Q: Vx +1 - 2 x² +x – 6 1. Find lim- and lim x→3 x - 3 x→-3 x2 – 9

A: Here, we have to find limits.

Q: Find : lim x*-4y2 if it exists. а. (x,y)→(0,0) x²+2y2 x²y+xy² b. lim if it exists. (х,у)-(2,-1)…

A: Given To check it is exist or not  If it exists then find the value

Q: (3x-1)² - lim x→1 (x+1)3

A:

Q: 2x -5x +2 3. Calculate the limit lim .2 x-2x X→2 X -3x +4

A: Limit of the function f(x) as x approaches  to a means as x approaches to a from left side and right…

Q: -2ln(cosx lim, 0 ,2

A:

Q: V3+x-V3 is limx→0

A:

Q: Find the limits: Vx - 1 lim х>1 х — 1 a. 2x3 b. lim х- оо 3(х-2)2 2x3 с. lim х-2 3(х-2)2 x+1 d. lim…

A: Since there are multiple questions posted, we will answer the first question (1). If you want the…

Q: x² +x-5 1- 2x-x (1) Find lim

A: The given limit,     limx→∞x2+x-51-2x-x3

Q: Give precise definitions of the following statements.

A: Given: a.limx→2-fx=5b.limx→2-fx=5c.limx→2fx=∞

Q: 2x² + x – 1t lim x→-1 x + 1

A:

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: 3t2-7t+2 1. Find lim t→2 2-t

A:

Q: x2-x-6 2) FIND limx-→3 x2-5x+6"

A: We will solve the problem

Q: x3+64 is: 3- the limit of this function lim_ -4 2x²+6x-8 30 b)- 24 26 c)- 5 5

A: Topic = Limits

Q: A. LIMITS Limr - 25 1.) lim VE – 2 2.):-4t-4 x-5 x-5

A: Here we have to find the limits.

Q: 2 + 3x – 4, X 1. What is lim X-+2 2.

A: Given the limitlimx→2x2+3x-42

Q: 3x 2+13x+4 p. Evaluate: lim x--2( 2x 2+5x-12

A: Topic = Limits

Q: 4-4e* lim X0 xex 7) Find:

A: limx→04-4exxex We need to find the limit

Q: Lx + 2x + 4 Evaluate limx-0 %3D 6x3 + 4x² + 7 x²-4x lim,→4 7-4 O 4/7 O 1/7 O 8 O 4/6 O 1/6 O 4 O…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Find limx-infinity 7e2x+4e-x/5e2x-2e-x

A:

Q: lim Vx2 - 5x +7 3. *2 -6x+1, lim(t1,3 4. *1

A: To evaluate: 3. limx→2x2-5x+74. limx→1-6x+183

Q: a) Evaluate:- 1: lim (xcot x) I-V31 + 4 2: lim 4-1 3: lim $(x-5)

A:

Q: V4x2-1 Find (a) lim ズ→+ ー1

A:

Q: If7-3x sfx)s7-x for - 1$x$1, find lim f(x). lim fix)

A:

Q: Which of the folwoing is true? -2t2 - 3t + 7 II. lim 4¢2 + 2 -2x2 + 3x -1 =2 1. lim X+ + 5x3 - 5x +2…

A:

Q: (2x-1)(3-x) is limx→ (x-1)(x+3) +00

A: Given limit, limx→∞2x-13-xx-1x+3

Q: x3-7x² +10x Which shows that the lim is an indeterminate form? x→2 x2+x-6

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: x3-7x2 +10x Which shows that the lim is an indeterminate form? x-2 x2+x-6 x3-7x2+10x lim x→2 x2+x-6…

A:

Q: -3+ Vx2 +8 lim X--1 x+1

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.