For my 900 Followers and Comrades

Calculus Level 5

\[1^{2016}-2^{2016}+3^{2016}-4^{2016}+\cdots\]

The series above diverges, of course. Its Abel sum is defined as

\[A=\lim_{x\to 1^-}\sum_{n=0}^{\infty}(-1)^{n+1} n^{2016} x^n\]

Find \(A\) to three significant figures. Enter 666 if you come to the conclusion that no such Abel sum \(A\) exists.


Inspiration.

×

Problem Loading...

Note Loading...

Set Loading...