If the function ƒ defined on , … by … is continuous, then k is equal to

Limits Continuity and Differentiability

JEE Main 2019 · 9 Apr, Morning shift · Q4135

MathematicsMedium179×since 2002Q4135

If the function ƒ defined on ,

\left( {{\pi \over 6},{\pi \over 3}} \right)

$f(x) = \left\{ {\matrix{ {{{\sqrt 2 {\mathop{\rm cosx}\nolimits} - 1} \over {\cot x - 1}},} & {x \ne {\pi \over 4}} \cr {k,} & {x = {\pi \over 4}} \cr } } \right.

$ is continuous, then k is equal to

JEE Main 2019 · 9 Apr, Morning shift · Q4135

MathematicsMedium179×since 2002Q4135

If the function ƒ defined on ,

\left( {{\pi \over 6},{\pi \over 3}} \right)

$f(x) = \left\{ {\matrix{ {{{\sqrt 2 {\mathop{\rm cosx}\nolimits} - 1} \over {\cot x - 1}},} & {x \ne {\pi \over 4}} \cr {k,} & {x = {\pi \over 4}} \cr } } \right.

$ is continuous, then k is equal to