Consider the series an, where a n (ln(ln n)) ln n 00 n 2 an...

a Let an InInnInn Then and b Suppose n eee 00 Then for n C ee The series n2 an e an conv ...

Consider the series an, where a n = (ln(ln n)) ln n . 00 n=2

Question:

Consider the series 00 n=2 an an, where a_n = (ln(ln n))^{− ln n}.

(a) Show, by taking logarithms, that an = n-In(ln(Inn)). (b) Show that In(ln(Inn)) 2 if n > C, where C = (c)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 06:28 AM

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Consider the series an, where a n = (ln(ln n)) ln n . 00 n=2

Question:

00 Σ n=2 an

Step by Step Answer:

a Let an InInnInn Then and b Suppose n eee 00 Then for n C ee The series n2 an e an conv...View the full answer

Calculus

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