i need to find the interval of convergence of the series (from 1 to infinity) of ((-1^n+1)(x-2)^n)/n2^n and then check for the convergence at the endpoints. i got the interval but i am having trouble with checking the endpoints. help ):

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\[\sum_1^{\infty}\frac{(-1)^{n+1}(x-2)^n}{n2^n}\]

YES. and then i added 2 to both sides. so 0

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