Question

$\underset{x\to 0^{+}}{lim}\frac{sin\sqrt{x}}{\sqrt{sinx}}$ is equal to

• A. $0$
• B. $1$
• C. $-1$
• D. None of the above

Answer 1

The correct option is B $1$

We have,
$\underset{x\to 0^{+}}{lim}\frac{sin\sqrt{x}}{\sqrt{sinx}}$
$={lim}_{x\to 0^{+}}\frac{\frac{sin\sqrt{x}}{\sqrt{x}}}{\sqrt{\frac{sinx}{x}}}=\frac{1}{1}=1$