The interval of convergence of the series Σ(√n+1-√√n) (x+2)" is given by A=0 A-3≤x<-1. OB-3

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A: FOLLOW NEXT STEP

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A: The series A is convergent. The series B is divergent.

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A: Here we use D'Almbert ratio test.

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A: See the detailed solution below.

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Q: 8 The interval of convergence of the series (√n+1-√√n)(x+2)" is given by n=0 OA.-3<x≤ - I.…

A: Here we can use ratio test to find interval of convergence. Ratio test states that a series ∑n an…

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A: 63-x &lt; 1=&gt;  63-x &lt; 1=&gt; 63-x &lt; 1=&gt; 63-x×3-x  &lt;  1×3-x                   ∵ 3-x…

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