Question

Geometric series

Answer 1

My teacher said this geometric series \[\sum_{n=0}^{∞}(-1)^nx^n\] can be written like this \[\frac{ 1 }{ 1+x }\]
But why i r=-x

Answer 2

*But why is r=-x

Answer 3

given that abs value of x is less than one, it can be written like that ...

Answer 4

just recall what do you do to the sum in a geometric series, ... and in infinite converging geometric series.

Answer 5

Okay, thanks...