x-2 Evaluate: lim Vx-1 - 1 X-2

Q: x² + 6x - 7 lim x² - 1

A: Given:  limx→1x2+6x-7x2-1 To find: The limit.

Q: 3x2-x+1 lim x→+∞ V9x5-x3+3-x2

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: V2x2 + x - 1 lim x - 2

A: Solution:-  =limx→-∞2x2+x-1x-2taking x2 common from the numerator and x common from the denominator…

Q: x²-x-6 - lim x→-2 x+2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: a) lim -Vx+7 2-x x-2 b) lim x+1 Show your work

A:

Q: V1+x-1 lim

A:

Q: (Vx-5 1. lim () x25 \x-25, x3+3x2+10x+104 2. lim X4 x2-12

A: Given: 1.  limx→25x-5x-252.  limx→4x3+3x2+10x+104x2-12

Q: Evalugte lim(3x-1)/x Xー>○ X/2

A: The solution is :

Q: lim Vx2 + 2x – 3 x→-3-

A:

Q: A) Vx2 +8-3 lim x-1 x+1

A: By using l'Hospital's rule we solve the given problem as follows :

Q: x3 - 7x + 6 1) lim X-1 x2 - 3x + 2

A:

Q: a. Using the Sandwich Theorem to find: lim f (x) If v5 – 2x2 <f(x)< V5-

A:

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: V13-x - 2 4-Vx +7 Evaluate lim-

A:

Q: et-1 - 1 (b) lim x1 x2 - 1

A:

Q: 1. Let f(x) = lim 1-0 7x3 + 3x² °

A: The given function is: f(x)=limx→0x27x3+3x2

Q: 3. Evaluate. 3x +x lim (a) x² -6

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: (a) lim 1+ x2

A: Solving the problem by obtaining the limit.

Q: x2 -x-6 2. lim -2 x2 -2

A: The given limit expression is limx→-2x2-x-6x2-2.

Q: lim Vx2 + 2x – 3 x-3-

A: It is given that, limx→-3-x2+2x-3 According to the rule of limits, the limit will exist only if…

Q: V4-x 5. lim X-2- x-2

A: Given limx→2-4-x2x-2Since we have in the form of 00, we apply L'Hopitals rule limx→2-4-x2x-2=…

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

A:

Q: Calculate the limit

A: We have to evaluate the following limit: limx→∞9x3+x-x32

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: V3x -V6-x lim x→-1 4+x2

A: Given: limx→-13x-6-x4+x2

Q: hg limits exactly. x3+3x2-11x-68 lim x2-7x+12 X4

A:

Q: Vx-3 • lim %3D X→9 x-9

A: Given : limx→9x-3x-9

Q: Vx² + 1 +x lim X ∞ 4xr -1 II

A:

Q: x3 - 7x + 6 1) lim x-1 x2-3x+2

A:

Q: Find the limit

A: a. Given limit is Since the function is defined at x=0, so we directly substitute the value of x to…

Q: 1. Evaluate. 3x -14 a) lim- -4 x-2 r²+x-12 b) lim x-3

A:

Q: V2x(x – 1) lim |x - 1|

A: First open the modulus function and then evolution the limit.

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

A: Limits question

Q: x²-16 -4 x +4 - ...lim تساوي

A:

Q: Evaluate the limit. V x2 + 3 lim 3x² + 1 x- 00

A: Given: - The equation is, limx→∞x2+33x2+1 To Evaluate: - The limit of the given equation,

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

A:

Q: (a) lim- エ→4 Vř -16 (b) lim- (1–x)² エー

A:

Q: 2. Complete the table and use it to find lim numerically. x-2 x -2x-8 -2 x² +2x x² - 2x-8 x² +2x lim…

A: Explanation and solution is given below....

Q: 23 - Vx - 47 Find lim x+ 24 X→-24

A:

Q: Evaluate using the Squeeze Theorem.

A: Squeeze theorem: We assume that our original function is hx, and that it’s squeezed between two…

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

A: we have to solve the given limit . so , we rationalise the numerator .

Q: Evaluate r-8 a) lim- T6 -Vx-2 3.x-1 b) lim ²-1 『→ーズ

A: a) Evaluate the limit limx→8x-86-x-2 as shown below.…

Q: Vx+1-2 Find lim X-3 x-3

A: Given: A limit: Substituting x=3 in the limit we get, Since 0/0 is an intermediate form so we can…

Q: lim₂+-1 f(x) = C 2

A: limit exist when

Q: (a) 5x (i) Lim x→∞ 2x-2 +9 -3 - 4 X-3)- (ii) Lim X0 x2 5- 2x - 3 2

A: (i) The given limit is limx→∞5x-3-42x-2+9. Rewrite and evaluate limx→∞5x-3-42x-2+9 as follows:…

Q: Find the limit

A: