4. Without using L'Hôpital's rule, evaluate the following limits. Furthermore, if the limit does not exist but diverges to to, please indicate so and determine the correct sign. |x|- - X x-x 2x - 6 (a) lim (b) lim x 3 4 (c) lim x-0 x+1-2 √5x+1 - sin 2x + x tan x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Without using L Hospital rule, solve the following equations

4. Without using L'Hôpital's rule, evaluate the following limits. Furthermore, if the
limit does not exist but diverges to ±∞, please indicate so and determine the correct
sign.
|x| − x
(a) lim
x-x 2x - 6
(b) lim
√x+1-2
x 3 4 √5x+1
sin 2x + x
(c) lim
x→0 tan x
Transcribed Image Text:4. Without using L'Hôpital's rule, evaluate the following limits. Furthermore, if the limit does not exist but diverges to ±∞, please indicate so and determine the correct sign. |x| − x (a) lim x-x 2x - 6 (b) lim √x+1-2 x 3 4 √5x+1 sin 2x + x (c) lim x→0 tan x
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