13. For which one of the following values of k does lim (a) 7 (b)-4 (c) 3 (d) -12 x²-x+k x-4 exist?

Q: Vx+h+5-Vx+ 5 2. Evaluate lim- h-0 h

A: See the details solution in below

Q: Evaluate 5x3 – 2x2 +3 lim - 8x + 4x - 1 00 A + 00 5 В 8 c) o D

A: Divide numerator and denominator by x3 and substitute the limit then simplify.

Q: sin 04) find limx-2n 2x-4n S0 (x²+x+1)* Q5) lim- (r²+1)100

A: In the given question we have to find the limit of the question 4 and question 5. the question 4 is…

Q: x² +3x +2 2x? - х-3 b) Evaluate lim

A: Let's factorize the numerator and denominator to see if we can cancel out the common factor.

Q: 1-3x limx-0 V5x2+2 Select one: О а. 5 -3 O b. 5 C. O d. 5 O e. none

A: Divide both numerator and denominator by x and use the limit

Q: -e g). lim [In(6x² + 5) – In(3x² – 6)] h). lim ズ→の

A: g) limx→∞ln6x2+5-ln3x2-6h) limx→-∞e2x-e-2xe2x+e-2x

Q: x? – 9x3 Find Lim x-00 6x3 + 4x A. 0 В. О 3 C. -- 2 O olo

A:

Q: (e) lim (3x²-x¹ + 1) 818

A: Given Limit,e. limx→∞3x2 - x4 +1

Q: 1 b. lim ,5 x-0

A:

Q: 3. Evaluate. 3x +x lim (a) x² -6

A:

Q: 2 lim -4x+3 + 9 x 2

A:

Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: Q.2 Find the lim, 2x-6|

A: Given, limx→3 2x-6

Q: 5z 3z (a) Evaluate lim, >00 94e

A:

Q: 6. Find the lim (x²-3)³ (x³ + 2)²x

A:

Q: bx²+18x+2b What is the value of b so that lim exists? x2+x-2 x-1

A: Limit for certain function exists if it returns some real value, and is not indeterminate. In case…

Q: The value of lim (x³+2x4- 7x3- 5x²+ 11x – 15) X--2 (A) - 1 B) 1 2 (D -5

A: We need to evaluate limx→-2 x5+2x4-7x3-5x2+11x-15

Q: 2 x-3+ 3-x 6. lim 4 9-1²

A:

Q: 4x2 - lim 3x +2 1 - 2

A:

Q: [a] find limg00 a+[b] *

A:

Q: 2x Evaluate lim 1+

A:

Q: (a) Evaluate lim, »∞ 3z+21 e 16

A: Given,          limx→∞3x2+2xex+6

Q: a lim 6. *a Jx- Ja -x

A:

Q: (5x+1)(3—10х) x(10х+ 2020) Find lim X00

A: limx→∞5x+13-10xx10x+2020

Q: |z+3| Find lim z+3 |z+3| lim z+3

A:

Q: 1. Evaluate each of the following: x3-64 a. lim X4x2-16 x-1 b. lim x-1 vx+3-2 1 1 C. lim 4 X→4ズー4

A: a)  limx→4 x3-64x2-16 = limx→4 x3-(4)3x2-42= limx→4 (x-4)(x2+4x+16)(x-4)(x+4)     ... Use (a3-b3) =…

Q: lim (x + 5)(2x + 5) 1) (x – 2) (b) x → * (3x + ·

A:

Q: Evaluate lim 3x | 1+ x-

A: limx→∞1+1x3x

Q: 2. Evaluate the following analytically: -5 (a) lim x8+ x 8 (b) lim (7x7 - 4x³ + 2x - 9) 8118 (c) lim…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 2. Given that lim x-3 2 x² +ax+b x² + ax+b x²-9 2 lim x-4 the values and a and b. 2 x-9 and = 2,…

A:

Q: Is it possible to find numbers a, b and c so that an lim n+0o bn3 + cn erists but not equal to 0?…

A: Consider the function: