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Limits Continuity and Differentiability question

2002 · Shift 0 · Q69

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2002 · Shift 0 · Q69

Limits Continuity and Differentiability question

2002 · Shift 0 · Q69

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

f\left( 1 \right) = 1,{f'}\left( 1 \right) = 2,

then

\mathop {\lim }\limits_{x \to 1} {{\sqrt {f\left( x \right)} - 1} \over {\sqrt x - 1}}

is

A
$2$
B
$4$
C
$1$
D
${1 \over 2}$

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