MCQ
$\mathop {lim}\limits_{n \to \infty } \cos \left( {\pi \sqrt {{n^2} + n} } \right)$ , where $n \in I$ , is
- A$1$
- B$-1$
- ✓$0$
- DDoes not exist
$\mathop {\lim }\limits_{n \to \infty } \pm \cos \pi \left[ {\frac{{{n^2} - \left( {{n^2} + n} \right)}}{{n + \sqrt {{n^2} + n} }}} \right]$
$\mathop {\lim }\limits_{n \to \infty } \pm \cos \left( {\pi \times \frac{{ - n}}{{n + \sqrt {{n^2} + n} }}} \right)$
$ \pm \cos \left( {\pi \times \frac{{ - 1}}{2}} \right) = 0$
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