\( \lim _{n \rightarrow \infty} \sum_{k=1}^{n} \frac{k^{2}+k-1}{(k+1) !} \) is equal to (a) 1 (b...

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\( \lim _{n \rightarrow \infty} \sum_{k=1}^{n} \frac{k^{2}+k-1}{(k+1) !} \) is equal to
(a) 1
(b) 2
(c) 3
(d) 4
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