Sum the series (a) 1 2 + 2 2 x + 3 2 x 2 + 4

Question:

Sum the series

(a) 12 + 22x + 32x2 + 42x3 + 52x4 +. . . .

(b)

1 + 2! x4 + 4! 6! 8! +

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