32 Determine which of the following power series is equal to the function f(2)= -√² < x < V₂ 2+2² (-1)³32²24+1 (-1)"32"+1 2+1 76-0 71=0 OFE 71-0 (-1)" 32+1 2 O (-1)" 3.2.2 2+1 1-0 O(-1)"3x2+1 2+1 7=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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Determine which of the following power series is equal to the function f(2)=2 for-√V² < x < V₂
Σ(-1)^32&n+1
76-0
(-1)"32"+1
2+1
71-0
OFF
71-0
(-1)" 3" 2+1
2
O
(-1) 322
2+1
11-0
O(-1)"322+1
2"+1
7=0
Transcribed Image Text:Determine which of the following power series is equal to the function f(2)=2 for-√V² < x < V₂ Σ(-1)^32&n+1 76-0 (-1)"32"+1 2+1 71-0 OFF 71-0 (-1)" 3" 2+1 2 O (-1) 322 2+1 11-0 O(-1)"322+1 2"+1 7=0
Find the sum of the series
cos 2
O e4
O cos 4
O e4
O e-2
(-1) 22n
n!
n=0
Transcribed Image Text:Find the sum of the series cos 2 O e4 O cos 4 O e4 O e-2 (-1) 22n n! n=0
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