Suppose k is a non-zero real number. Evaluate the limit algebraically. If it does not exist, explain why not. V2x + 3 A. lim 3 - x B. lim (k arctan(e")) -00

Q: Evaluate the limit and the function.

A: Here we take N tends to infinity for finding the limit function

Q: Evaluate the limit, if it exiİsts. x2 - 8x + 15 lim X- 3 X - 3

A:

Q: Find the limit. lim 1- x-0

A:

Q: 47) lim √√3x-2 x-1 48) lim X->>0 x3 + 12x² - 5x 5x

A: To find the limit of a function f(x) when x approaches k, substitute x= k in f(x)

Q: Find each limit, if it exists. - 3x? + 5 67. lim 66. lim 2 - x x + 8 -6x + 7x 68. lim 69. lim "- 2x2…

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

Q: find the limit or explain why it does not exist. x? + x lim + + 2x4 + x³ a. as x→0 b. as x→ -1

A:

Q: Find the indicated limit algebraically. Show complete solution. 2x -x-3 1. lim x--1 2. lim () x+1…

A: Solution: Consider the given limit function is limx→-12x2-x-3x+1 We can factorized numerator and…

Q: Find the limit, if it exists. Find: lim X--4 O-8 16 8 -24 x² - 16 X+

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Q: Find the limit L. 2x+12x+ 10 lim x+5

A:

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: lim x→∞ 524+45 x¹ x¹ - x² + 5

A: