Quantcast
Channel: Active questions tagged real-analysis - Mathematics Stack Exchange
Viewing all articles
Browse latest Browse all 9555

Baby Rudin 3.9 -- should I use the root or ratio test? [closed]

$
0
0

I'm asked to find the radius of convergence of a bunch of different series.

In the solutions, a mixture of the root and ratio tests are used. But, it is unclear to me which to use when.

For example, one of the series:

$\sum_{n=1}^{\infty} \frac{2^n}{n^2} z^n$, the official solutions use the root test, but I get the same answer if I use the ratio test.

Since the root test implies the ratio test, should I in general only use the root test?


Viewing all articles
Browse latest Browse all 9555

Trending Articles



<script src="https://jsc.adskeeper.com/r/s/rssing.com.1596347.js" async> </script>