Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. ΣΟ ³W° n = 0 f(x) = x cos(7x) Find the radius of convergence, R, of the series. (x+5)" 5 In(n) n = 2 R = 5 Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) 1 = (-10,0) ×

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Use a Maclaurin series in this table to obtain the Maclaurin series for the given function.
ΣΟ
³W°
n = 0
f(x) = x cos(7x)
Transcribed Image Text:Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. ΣΟ ³W° n = 0 f(x) = x cos(7x)
Find the radius of convergence, R, of the series.
(x+5)"
5 In(n)
n = 2
R = 5
Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
1 = (-10,0)
×
Transcribed Image Text:Find the radius of convergence, R, of the series. (x+5)" 5 In(n) n = 2 R = 5 Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) 1 = (-10,0) ×
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