I can't remember all their names!

Calculus Level 5

1m2m+3m4m+5m\large 1^m - 2^m + 3^m - 4^m + 5^m - \cdots

Define the Abel sum n=0an\sum\limits_{n=0}^\infty a_n to be limz1n=0anzn, \displaystyle \lim_{z\to 1^-} \sum_{n=0}^\infty a_nz^n, if that limit exists.

The closed form of the Abel sum of the (divergent) series as shown above can be written as which of the following functions?

×

Problem Loading...

Note Loading...

Set Loading...