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

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

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

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

QUESTION POSTED AT 02/06/2020 - 01:21 AM

QUESTION POSTED AT 01/06/2020 - 04:43 PM

QUESTION POSTED AT 01/06/2020 - 04:38 PM

QUESTION POSTED AT 01/06/2020 - 04:30 PM

QUESTION POSTED AT 01/06/2020 - 04:30 PM

QUESTION POSTED AT 01/06/2020 - 04:26 PM

QUESTION POSTED AT 01/06/2020 - 04:19 PM

QUESTION POSTED AT 01/06/2020 - 04:16 PM

QUESTION POSTED AT 01/06/2020 - 03:58 PM

QUESTION POSTED AT 01/06/2020 - 03:23 PM

QUESTION POSTED AT 01/06/2020 - 03:22 PM

QUESTION POSTED AT 01/06/2020 - 03:09 PM

QUESTION POSTED AT 01/06/2020 - 03:03 PM

QUESTION POSTED AT 01/06/2020 - 02:58 PM

QUESTION POSTED AT 01/06/2020 - 02:57 PM

QUESTION POSTED AT 01/06/2020 - 02:55 PM

QUESTION POSTED AT 01/06/2020 - 02:54 PM

QUESTION POSTED AT 01/06/2020 - 02:52 PM

QUESTION POSTED AT 01/06/2020 - 02:02 PM

QUESTION POSTED AT 01/06/2020 - 02:02 PM

QUESTION POSTED AT 01/06/2020 - 12:12 PM

QUESTION POSTED AT 01/06/2020 - 12:11 PM

QUESTION POSTED AT 29/05/2020 - 05:23 PM

QUESTION POSTED AT 29/05/2020 - 05:14 PM

QUESTION POSTED AT 29/05/2020 - 04:59 PM

QUESTION POSTED AT 29/05/2020 - 04:48 PM

QUESTION POSTED AT 29/05/2020 - 04:36 PM

QUESTION POSTED AT 29/05/2020 - 03:55 PM

QUESTION POSTED AT 29/05/2020 - 03:16 PM