CBSE

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

Problem

Determine

\displaystyle\lim_{x\to0}\frac{\sqrt{1+2x}-\sqrt{1-x}}{x}

. (a)

1

(b)

2

(c)

\dfrac{3}{2}

(d) The limit does not exist