Question

Represent f(x)= (e^x -1)/x as a power series.

Answer 1

Start with:

e^x
=1+x+x²/2!+x³/3!+x⁴/4!+...

So (e-1)/x
=1+x/2!+x²/3!+x³/4!+...+xⁱ/(i+1)! +...