(x-3)" ? Which of the following statements are true for the power series n=1 I: Series is divergent for x =5 II: Series is conditionally convergent for x=2 III: Series is convergent for all xE[2,4] IV: Series is absolutely convergent for all xe(2,4] (a) I, II, IV (b) I, II, III (c) II, III, IV (d) 1, II

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the following statements are true for the po wer series >
(х-3)"
?
n=1
I: Series is divergent for x =5
II: Series is conditionally convergent for x=2
III: Series is convergent for all xe[2,4]
IV: Series is absolutely convergent for all xe(2,4]
(а) 1, I, IV
(b) I, II, III
(c) II, III, IV
(d) I, II
(e) I, III, IV
Transcribed Image Text:Which of the following statements are true for the po wer series > (х-3)" ? n=1 I: Series is divergent for x =5 II: Series is conditionally convergent for x=2 III: Series is convergent for all xe[2,4] IV: Series is absolutely convergent for all xe(2,4] (а) 1, I, IV (b) I, II, III (c) II, III, IV (d) I, II (e) I, III, IV
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