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Question Number 153916 by EDWIN88 last updated on 12/Sep/21

T h e v a l u e o f \underset{n = 0}{\sum^{\infty}} \frac{(3_{n}) (2_{n}) x^{n}}{(1_{n}) n!} β (2, n + 1) i s

a . \frac{1}{2} \underset{n = 0}{\sum^{\infty}} (2_{n}) \frac{x^{n}}{n!}

b . \frac{1}{2} \underset{n = 0}{\sum^{\infty}} \frac{(3_{n}) (2_{n})}{(1_{n})} \frac{x^{n}}{n!}

c . \frac{1}{2} \underset{n = 0}{\sum^{\infty}} \frac{(2_{n}) x^{n}}{(1_{n}) n!}

d . \frac{1}{3} \underset{n = 0}{\sum^{\infty}} \frac{(3_{n}) x^{n}}{(1_{n}) n!}