_ n n n + n + 1 = - Vidyadip

MCQ

$\mathop {\lim }\limits_{n \to \infty } \frac{{\sqrt n }}{{\sqrt n + \sqrt {n + 1} }} = $

A
$1$
✓
$\frac{1}{2}$
C
$0$
D
$\infty $

✓

Answer

Correct option: B.

$\frac{1}{2}$

b
(b) $\mathop {\lim }\limits_{n \to \infty } \,\frac{1}{{1 + \sqrt {1 + \frac{1}{n}} }} = \frac{1}{2}$.

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