MCQ
$\mathop {\lim }\limits_{n \to \infty } \frac{{1 + 2 + 3 + ....n}}{{{n^2} + 100}} = . . . $
- A$\infty $
- ✓$\frac{1}{2}$
- C$2$
- D$0$
$ = \mathop {\lim }\limits_{n \to \infty } \frac{{n(n + 1)}}{{2({n^2} + 100)}} = \mathop {\lim }\limits_{n \to \infty } \frac{{{n^2}\left( {1 + \frac{1}{n}} \right)}}{{2{n^2}\left( {1 + \frac{{100}}{{{n^2}}}} \right)}} = \frac{1}{2}$.
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