# Series Expansion of 1/(1-x)

Series Expansion of 1/(1-x)

The plots are of against the partial sums of the two expansions:

1/(1-x)

th

k

|x|>1:---...

-1

x

-2

x

|x|<1:1+x++...

2

x

The first tends to as , the second to as , and both exhibit erratic behavior as .

-∞

x1+

+∞

x1-

x-1