1 Prove that each of the following series converges 00 (a) L( l)k (i arctank) k l (c) f( )k, p O k l (d) f sin x) x E R, p O (e) f ( l )k 2 4 ' , ' ( , 2k , ) k l k2 13 (2k 1) ' k l ...

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1. Prove that each of the following series converges. 00 (a) L( _l)k (i - arctank) ....

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1. Prove that each of the following series converges.

(a) L( _l)k (i - arctank) .

k=l

(c) f(~;)k, p>O.

k=l

(d) f sin~:x) x E R, p> O.

(e) f _( _ l_)k _2 ·_4_· '.,-' (-,-2k--,-)--:k=

l k2 1·3 .. ·(2k-1)' k=l

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 10:10 AM

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1. Prove that each of the following series converges. 00 (a) L( _l)k (i - arctank) ....

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An Introduction To Analysis

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