Question

Show that,\[\rm {1 \over 1 - x} = 1 +x+x^2 + x^3+x^4+x^5\cdots\]

Answer 1

Is that statement even true?

Answer 2

for absolute value of x is less than one.

Answer 3

Oh. Then I think I asked a wrong question.

Answer 4

this is just geometric series ... you get get the same if you expand it binomially.