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Limits Continuity and Differentiability question

2002 · Shift 0 · Q70

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JEE Main
Mathematics
Limits Continuity and Differentiability
2002 · Shift 0 · Q70

Limits Continuity and Differentiability question

2002 · Shift 0 · Q70

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

f

is defined in

\left[ { - 5,5} \right]

as

f\left( x \right) = x

if

x

is rational

\,\,\,\,\,\,\,\,\,\,\,\,\, = - x

if

x

is irrational. Then

A
$f(x)$ is continuous at every x, except $x = 0$
B
$f(x)$ is discontinuous at every $x,$ except $x = 0$
C
$f(x)$ is continuous everywhere
D
$f(x)$ is discontinuous everywhere

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