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Limits Continuity and Differentiability question

2004 · Shift 0 · Q71

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JEE Main
Mathematics
Limits Continuity and Differentiability
2004 · Shift 0 · Q71

Limits Continuity and Differentiability question

2004 · Shift 0 · Q71

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f(x) = {{1 - \tan x} \over {4x - \pi }}

,

x e {\pi \over 4}

,

x \in \left[ {0,{\pi \over 2}} \right]

. If

f(x)

is continuous in

\left[ {0,{\pi \over 2}} \right]

, then

f\left( {{\pi \over 4}} \right)

is

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

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