(a) Calculate the following limits if they exist: COS I i) lim ii) iii) z+0 cos2x+ 2 cos x - 3 x 9 lim 1-9 √√T lim 24-2 (1² x-6)² 2+2

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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(a) Calculate the following limits if they exist:
cos x 1
i)
ii)
iii)
E F 3=
v)
lim
z+0 cos² x + 2 cos r
I- 9
iv) lim
t-0
lim
1-9
lim
24-2
iii)
iv)
3
(x² -x-6)²
x + 2
1
t√1+t
lim arcsin
z+1
(b) Use the Squeeze Theorem to find each of the limits.
i) lim(x - 2) sin( x - 2
t
1 VI
1
1
ii) lim(√2-1) sin(1) cos(x1);
lim 2 sec-1
I-0
T2
3
lim
z r ln(x-2)
Transcribed Image Text:(a) Calculate the following limits if they exist: cos x 1 i) ii) iii) E F 3= v) lim z+0 cos² x + 2 cos r I- 9 iv) lim t-0 lim 1-9 lim 24-2 iii) iv) 3 (x² -x-6)² x + 2 1 t√1+t lim arcsin z+1 (b) Use the Squeeze Theorem to find each of the limits. i) lim(x - 2) sin( x - 2 t 1 VI 1 1 ii) lim(√2-1) sin(1) cos(x1); lim 2 sec-1 I-0 T2 3 lim z r ln(x-2)
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