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