# What is the interval of convergence of #sum_1^oo [(2n)!x^n] / (n!)^2 #?

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The interval of convergence of the series ∑_(n=1)^(∞) [(2n)!x^n] / (n!)^2 is (-1, 1), inclusive of -1 and 1. This can be determined using the ratio test.

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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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