- #1
thechunk
- 11
- 0
I’ve been playing around with the infinite series:
[tex] \sum_{k=1}^\infty \frac{k}{(k+1)!} [/tex]
I haven’t really gotten anywhere with it however I punched it into my calculator and it determined the sum to be 1. And the sum of n terms of the series equals
[tex]1-\frac{1}{(n+1)(n!)} [/tex]
Why is this so? Any help is much appreciated.
[tex] \sum_{k=1}^\infty \frac{k}{(k+1)!} [/tex]
I haven’t really gotten anywhere with it however I punched it into my calculator and it determined the sum to be 1. And the sum of n terms of the series equals
[tex]1-\frac{1}{(n+1)(n!)} [/tex]
Why is this so? Any help is much appreciated.