Does the following series converge? Investigate and prove the answer. a.) b.) k=1 k=1 k (1...

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Does the following series converge? Investigate and prove the answer. a.) b.) k=1 k=1 k (1 + k)(1 + kk) (2k)! k!k! c.) (Ink)2k d.) k=1 k=1 00 e.) k=2 kk k2/3 10k k(k+1) (k+1)(k-1) Does the following series converge? Investigate and prove the answer. a.) b.) k=1 k=1 k (1 + k)(1 + kk) (2k)! k!k! c.) (Ink)2k d.) k=1 k=1 00 e.) k=2 kk k2/3 10k k(k+1) (k+1)(k-1)