# What is a Power Series?

You can thing of a power series as a polynomial function of infinite degree since it looks like this:

I hope that this was sufficient.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the maclaurin series expansion of #ln(1+x)#?
- How do you find the Taylor series for #ln(x)# about the value x=1?
- How do you use a power series to find the exact value of the sum of the series #1-pi^2/(2!)+pi^4/(4!) +pi^6/(6!) + …# ?
- How do you use Power Series to solve the differential equation #y''=y# ?
- What is the interval of convergence of #sum_1^oo (3x-2)^(n)/(1+n+n^(x) #?

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