MCQ
$\mathop {\lim }\limits_{x \to \infty } \frac{{{x^n}}}{{{e^x}}} = 0$ for
- ANo value of $n$
- ✓$n$ is any whole number
- C$n = 0$ only
- D$n = 2$ only
$ = \mathop {\lim }\limits_{x \to \infty } \frac{{n\,\,!}}{{{e^x}}} = \frac{{n\,\,!}}{\infty } = 0$,
where $n$ is any whole number
$( \because n! $ is defined for all positive integers including zero).
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