CBSE

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

Problem

Calculate

\displaystyle\lim_{x\to 0}\dfrac{\sqrt{1+2x}-\sqrt{1+x}}{x}

. (a)

1

(b)

0

(c)

\dfrac{1}{2}

(d) The limit does not exist