If f(1) = 1,f'(1) = 2, then lim x → 1 (√(f(x)) - 1)/(x - 1) is

Limit, Continuity and Differentiability: JEE Main 2002 Mathematics question

JEE Main 2002 · Annual, Paper 1 · Q4220

JEE Main 2002Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

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}}

JEE Main 2002 · Annual, Paper 1 · Q4220

JEE Main 2002Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

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}}