Question

What are the most important power series to memorise?

Answer 1

Useful Maclaurin Series

`1/{1-x}=sum_{n=0}^infty x^n`

`e^x=sum_{n=0}^infty{x^n}/{n!}`

`sinx=sum_{n=0}^infty(-1)^n{x^{2n+1}}/{(2n+1)!}`

`cosx=sum_{n=0}^infty(-1)^n{x^{2n}}/{(2n)!}`

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I hope that this was helpful.