Prove that lim x cos 4 = 0. X-0 -1 s cos(4/x)s 1 = -x s cos(4/x) s x*. since lim (-x*) = x-0 and lim x4= X-0 , we have lim [x cos(4/x)) = 0 by the Squeeze Theorem. x-0
Prove that lim x cos 4 = 0. X-0 -1 s cos(4/x)s 1 = -x s cos(4/x) s x*. since lim (-x*) = x-0 and lim x4= X-0 , we have lim [x cos(4/x)) = 0 by the Squeeze Theorem. x-0
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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![Prove that lim x* cos
= 0.
X-0
-1 s cos(4/x) < 1
= -x4 s
cos(4/x) s x*. Since lim (-x*) =
and lim x4 =
x-0
, we have lim [x4 cos(4/x)] = 0 by the Squeeze Theorem.
X-0
X-0
Need Heln?
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Transcribed Image Text:Prove that lim x* cos
= 0.
X-0
-1 s cos(4/x) < 1
= -x4 s
cos(4/x) s x*. Since lim (-x*) =
and lim x4 =
x-0
, we have lim [x4 cos(4/x)] = 0 by the Squeeze Theorem.
X-0
X-0
Need Heln?
Read It
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