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## Homework Statement

For the power series representation of, f(x)=1+x1−x which is 1+2∑from n=1 to inf (x^n), Where does the added 1 in front come from? How do I get to this answer from ∑n=0 to inf (x^n)+∑n=0 to inf (x^(n+1))

## Homework Equations

## The Attempt at a Solution

I arrived at ∑n=0 to inf x^n + ∑ n=0 to inf x^(n+1)