Find the value of .

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

Problem

Find the value of

\displaystyle\lim_{x\to9}\frac{\sqrt{x}-3}{x-9}

. (a)

\dfrac{1}{3}

(b) Does not exist (c)

\dfrac{1}{6}

(d)

\dfrac{1}{12}