What is the interval of convergence of the series + +∞ (x+3)" 2n O a. (-5, -1) O b. [-5, -1] O c. (-5, -1] O d. [-5, -1) ·?

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A: The given series: ∑n=0∞-1n2nxn

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A: Topic:- application of algebra

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A: Topic -Definite integral In definite integral, Area below x-axis is considered as negative.

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Q: 1. 2. b. f(-1)= b._lim_f(x) = c. lim f(x)= 3.

A: 1(a). f(-1)= -2 1(b) lim x-&gt; -1- f(x)=  -3.5

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A: Please see the below picture for detailed solution.

Q: 1/5 a) S J1/10 10 Arc sin(5x) dx

A: Please see the below picture for detailed solution.

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Q: 8) FIND THE INTERVAL OF CONVERGENCE FOR Σ (-1)" x 1=2 n2^ n

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