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## What is a power series for a function?

### Key questions

1. 1

Can we write a function $f(x)$ as a series of powers of $x$?

2. 2

What is the power series for $e^x$ and for other familiar functions?

3. 3

How can we use power series to approximate values of expressions?

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#### Developing...

Resource type Title
Investigation Designing a polynomial

#### Review questions

Title Ref
Can we expand $(1+x)^{3/2} + (1-2x)^{3/4}$ as far as the term in $x^3$? R7436
What is this algebraic fraction if its expansion has no $x$ term? R6601