# What is the interval of convergence of #sum_1^oo ((-1)^n(x-2)^n )/ (n+1) #?

The interval of convergence is

which comes together.

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The interval of convergence for the series ∑_(n=1)^∞ ((-1)^n(x-2)^n )/(n+1) is (-1, 3].

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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.

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- What is the radius of convergence of #sum_1^oo ((2x)^n ) / 8^(2n)#?
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