- #1

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## Homework Statement

prove that

hint: use induction on n, and compare derivatives

## Homework Equations

P(n) says "1+x+x

^{2}/2!+...+x

^{n}/n!"

P(1)=1+x

^{1}/1!=1+x so P(1) is true

## The Attempt at a Solution

induction is probably my worst type of proof, i can't wrap my head around how to do it. apparently there is some some taylor series that goes with this, but we haven't done those yet. can someone please help?