# 1)*1k4хх-1 in the series In (1 x)4 = 4to obtain a power series for Incentered at x2. What is the interval of convergence for the new power series?Replace x by2k2k 1Choose the correct power series below.(-1)** 1(x-2)*-1x-1*4EA.В.kkk 1k 1(-1) 1x-2)*2k(-1)** (x- 1)*42kKk 1k 1The interval of convergence is (0,4] .(Simplify your answer. Type your answer in interval notation.)

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In the screenshot it shows a problem with a value to substitute into a given series. In the answer explanation, it mentioned that the interval of the original series is -1<x<=1. Why is this/ how can this interval be found from this alternating series?

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Step 1

Given that

Step 2

Substitute x by x/2-1in the above series and simplify it

Step 3

Now to find the interval of convergenc...

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