find the radius of convergence and interval of convergence of the series ∑ n=1 ~ ∞...

find the radius of convergence and interval of convergence of the series ∑ n=1 ~ ∞ (3^n)((x+4)^n) / √n

Please solve this problem with detailed process of solving.

I can't understand why the answer is [-13/3, -11/3)

I thought that the answer was (-13/3, -11/3].

Can you explain why that is the answer?

Expert Solution

milcah answered 2 years ago

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1) Find the radius of convergence and interval of convergence of the given series Σ x^2n/n! 2) Find the power series representation of f(x)=(x-1)/(x+2) first then find its interval of convergence.

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find the radius of convergence and interval of convergence of the series ∑ n=1 ~ ∞...

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