. Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)"¯ CONVERGES n=1 converges or diverges. . Determine if the series (-1) 3n =CONVERGES n4 + n=1 converges or diverges. . Consider the power series Note: Σ (2.x – 1)3". + 1 Use the previous item to find - nt n=1 its interval of convergence.

Q: ct a power series whose interval of convergence is exactly [0,3]. his should go without saying, but…

A: See the detailed solution below.

Q: Find the radius of convergence and the interval of convergence for the following power series.…

A: Determine the radius of converges and intravel of converges of the series

Q: Find the interval of convergence of the series. (x–2)" En=0 2(3n+1) a. Find the open interval of…

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Q: find the interval of convergence for the power series. Show your work, and clearly state your…

A: Here, we apply the Ratio test For the given series∑n=1∞an, andlimn→∞an+1an=l Then, if l<1,…

Q: (5) Find the interval of convergence of the power series (n!)? a". Show your work. (2n)! n=0 IM:

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Q: n(x + 10)" (2n)! n=0

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