# What is the interval of convergence of #sum_1^oo (3)/n^(x)#?

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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 n such that |Tn(1) - e| ≤ 10^-5, where Tn is the Maclaurin polynomial for #f (x) = e^x#?
- What is the interval of convergence of #sum_1^oo [(2^n)(x^n)]/sqrt(n) #?
- How do you use a Power Series to estimate the integral #int_0^0.01sin(sqrt(x))dx# ?
- What is the Maclaurin series for #e^(-x)#?
- How do you find a power series representation for #(1+x)/(1-x) # and what is the radius of convergence?

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