Question 1 Determine whether each series converges or diverges. Be sure to name the test used and the key details. 4n+1 (a) (if this series converges, find its sum) 5n (n!)2 (2n)! Зп + 2 (c) 5n + 3 n=.

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A: Given ,an=3n-2n2+2Put n=1a1=3(1)-2(1)2+2a1=3-21+2a1=13,Put n=2,a2=3(2)-2(2)2+2a2=6-24+2a2=46,a2=23,a...

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