- #1

Grew Gore

## Homework Statement

i)

**What is the Taylor Series for f(x) = (1+x)^m about x=0 where m is a real number?**

ii) Why does this binomial series terminate when m is a non-negative integer? A

iii) Can the result to (i) be used to find the first four non-zero terms of the series for (1+x)^(-1/2)

ii) Why does this binomial series terminate when m is a non-negative integer? A

iii) Can the result to (i) be used to find the first four non-zero terms of the series for (1+x)^(-1/2)

## Homework Equations

## The Attempt at a Solution

I started getting: 1 + mx + 1/2(m-1)mx^2 +1/6(m-2)(m-1)mx^3 +... but am unsure if this is right and how to go on from here.