Determine whether the following series converge absolutely, converge con- ditionally or diverge. Explain your reasoning carefully....

 

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Determine whether the following series converge absolutely, converge con- ditionally or diverge. Explain your reasoning carefully. (-1)" Vn +1 (a) n=1 (b) (-1)" cos n n=1 1 (c) 1+ 23 1 1 ... 34 45 (d) Σ an, where n=1 sin(n) n2 if n is even an = yn n3+1 if n is odd Determine whether the following series converge absolutely, converge con- ditionally or diverge. Explain your reasoning carefully. (-1)" Vn +1 (a) n=1 (b) (-1)" cos n n=1 1 (c) 1+ 23 1 1 ... 34 45 (d) Σ an, where n=1 sin(n) n2 if n is even an = yn n3+1 if n is odd