For positive constants and

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

Problem

For positive constants

a

and

b

, determine

\displaystyle\lim_{x\to 1}\dfrac{\sqrt{ax+b}-\sqrt{a+b}}{x-1}

. (a)

\dfrac{a}{\sqrt{a+b}}

(b)

\dfrac{\sqrt{a+b}}{2}

(c)

\dfrac{a}{2\sqrt{a+b}}

(d)

\dfrac{1}{2\sqrt{a+b}}

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