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Limits Continuity and Differentiability question

2019 · 9 Apr · Shift 1 · Q33

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 9 Apr · Shift 1 · Q33

Limits Continuity and Differentiability question

2019 · 9 Apr · Shift 1 · Q33

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If the function ƒ defined on ,

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

by

f(x) = \left\{ {\begin{matrix} {{{\sqrt 2 {\mathop{\rm cosx} olimits} - 1} \over {\cot x - 1}},} & {x e {\pi \over 4}} \\ {k,} & {x = {\pi \over 4}} \\ \end{matrix} } \right.

is continuous, then k is equal to

A
1
B
1 / $\sqrt 2$
C
${1 \over 2}$
D
2

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