CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Evaluate

\displaystyle\lim_{x\to0^+}\frac{\sqrt{1+\sqrt{x}}-1}{\sqrt{x}}

. (a)

\dfrac12

(b)

0

(c)

1

(d) The limit does not exist