Find the first three nonzero terms of the Maclaurin series for the function and the values of x for which the series converges absolutely f(x) = ( cos x) In (1 + x) What are the first three nonzero terms of the Maclaurin series for f(x)? (Type an exact answer.) What are the values of x for which the series converges absolutely? (Simplify your answer. Type your answer in interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Find the first three nonzero terms of the Maclaurin series for the function and the values of x for which the series converges absolutely.
f(x) = ( cos x) In (1 +x)
%3D
What are the first three nonzero terms of the Maclaurin series for f(x)?
(Type an exact answer.)
What are the values of x for which the series converges absolutely?
(Simplify your answer. Type your answer in interval notation.)
Transcribed Image Text:Find the first three nonzero terms of the Maclaurin series for the function and the values of x for which the series converges absolutely. f(x) = ( cos x) In (1 +x) %3D What are the first three nonzero terms of the Maclaurin series for f(x)? (Type an exact answer.) What are the values of x for which the series converges absolutely? (Simplify your answer. Type your answer in interval notation.)
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