MCQ
$\mathop {\lim }\limits_{n \to \infty } {\left( {\frac{n}{{n + y}}} \right)^n} = . .. $
- A$0$
- B$1$
- C$1/y$
- ✓${e^{ - y}}$
$ = \mathop {\lim }\limits_{n \to \infty } \,{\left( {1 + \frac{y}{n}} \right)^{ - n}}$
$ = \mathop {\lim }\limits_{n \to \infty } \,{\left[ {{{\left( {1 + \frac{y}{n}} \right)}^n}} \right]^{ - 1}} = {e^{ - y}}$.
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