Inspired by Pi Han Goh, Part 2

Calculus Level 5

12+34+...1-2+3-4+...

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

A=limx1n=0(1)n+1nxnA=\lim_{x\to 1^-}\sum_{n=0}^{\infty}(-1)^{n+1} n x^n

Find AA to three significant figures. Enter 666 if you come to the conclusion that no such Abel sum AA exists.

Twin Problem

×

Problem Loading...

Note Loading...

Set Loading...