Answered: (+) cos cos n=1 n + 2

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter6: Fractions

Section6.1: Simplifying Fractions

Problem 31WE

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Question

find a formula for the nth partial sum of the series
and use it to determine whether the series converges or diverges. If a
series converges, find its sum.

Expert Solution

Step 1

The series,

Step 2

Consider a general term,

Consider n^th partial sum:

By cancelling finite number of terms only first term and last term remains

Therefore,

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