﻿ 1/5+1/15+1/45+1/81+... Converges or diverges. Sum or no sum - AssignmentGrade.com

# 1/5+1/15+1/45+1/81+... Converges or diverges. Sum or no sum

QUESTION POSTED AT 01/06/2020 - 04:06 PM

Let's consider the partial sum of the series:

Multiply both sides by , making sure to distribute to each term in the sum on the right side:

Now subtract this from to get

Now as , the second term converges to 0, leaving you with

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