For each series, determine whether it converges absolutely, converges conditionally, or diverges. (-1)" sin(n) (a) n3n (-2)¹ - 3n 4n (b) ∞ n=1 8 n=1

Q: (a) Find the values of x for which (x + 2)" is a converging and alternating series. Your answer…

A: We can find the answer as given below

Q: (4) Determine if the alternating series converges ∞ Σ(-1)" sin t . n n=2

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Q: (Review) Determine whether the series (-1)"+1s converges absolutely, converges conditionally, or…

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Q: cos (n) 4) Is an alternating series? Does it converge ? Does it converge absolutely? Explain…

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Q: Use interval notation to present the answers to these three questions. a) Find the set of real…

A: Note: As per our Guidelines, we can solve first parts as your all parts are not small.

Q: Consider the series xn+1 3n n = 0 a. Find the interval of convergence for the given series. b. For…

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Q: Consider the series E 1+* (a) Find the series' radius and interval of convergence. (b) For what…

A: We have given a series ,  ∑n=1∞ 1 + 1n6n x9n Here , an = 1 + 1n6n x9n (a) We need to find interval…

Q: Use interval notation to present the answers to these three questions. (a) Find the set of real…

A: Given series: a) At=∑n=7∞9-18tn b) Bx=∑n=4∞arc tan14x73n c) Cθ=∑n=4∞2n sin2n21124θ To find: The…