# How do you find the radius of convergence of a power series?

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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.

- What is the power series of #f(x)= ln(5-x)^2#? What is its radius of convergence?
- How do you find the power series representation for the function #f(x)=e^(x^2)# ?
- How do you find the radius of convergence #Sigma x^(3n)/5^n# from #n=[1,oo)#?
- What is the interval of convergence of #sum_1^oo xsin((pi*n)/2)/n #?
- How do you find the Maclaurin Series for # f(x)= x sinx#?

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