Sum to infinity, anyone?

3 ⤊

Sum to infinity, anyone?

Please sum to infinity of this series
1-2+4/2!-8/3!+16/4!+...
Thanx!

2007-04-20 23:50:48 · 3 answers · asked by the DoEr 3 in Science & Mathematics ➔ Mathematics

3 answers

It's e^(-2).

The power series for e^x is the sum (from 0 to infinity) of x^n / n!. If you plug -2 in for x, you get the series that you were asking about.

2007-04-21 00:03:06 · answer #1 · answered by Anonymous · 1⤊ 0⤋

1-2+4/2!-8/3!+16/4!+...
=e^(-2)

2007-04-21 07:06:00 · answer #2 · answered by Ahmed 1 · 1⤊ 0⤋

2^0/1!+2^2/2!+2^4/4!+....
-(2^1/1!+2^3/3!+2^5/5!+....)

2007-04-21 07:25:00 · answer #3 · answered by iyiogrenci 6 · 1⤊ 0⤋