How to convert this into a telescopic sum

Asked Mar 08 '22 at 09:46

Active Mar 08 '22 at 10:09

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I'm trying to convert this series into a telescopic series but I'm stuck on making it into a telescopic form by factoring it, tried partial faction decomposing it but couldn't proceed any further because of imaginary number.

$$\sum_{n=2}^{\infty}\frac{1}{n^3-1}$$

edited Mar 08 '22 at 10:09

TShiong

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asked Mar 08 '22 at 09:46

fatehei

1

Please do not use pictures for critical portions of your post. Pictures may not be legible, cannot be searched and are not view-able to some, such as those who use screen readers. – For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to. – Martin R Mar 08 '22 at 09:48
3

https://math.stackexchange.com/q/3070418/42969, https://math.stackexchange.com/q/1853557/42969. – Martin R Mar 08 '22 at 09:50

How to convert this into a telescopic sum

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