Find the first three nonzero terms of the Taylor series for sin x centered at x = = 0: Use the nonzero terms in the Taylor series found above to help evaluate the limit below. lim x→0 sin x x3 - x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 49E
Question
Find the first three nonzero terms of the Taylor series
for sin x centered at x = = 0:
Use the nonzero terms in the Taylor series found
above to help evaluate the limit below.
lim
x→0
sin x
x3
-
x
Transcribed Image Text:Find the first three nonzero terms of the Taylor series for sin x centered at x = = 0: Use the nonzero terms in the Taylor series found above to help evaluate the limit below. lim x→0 sin x x3 - x
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