f is defined in [ - 5,5 ] as f(x) = x if x is rational = - x if x is irrational. Then

(B) f(x) is discontinuous at every x, except x = 0

(A) f(x) is continuous at every x, except x = 0

(C) f(x) is continuous everywhere

(D) f(x) is discontinuous everywhere

Limit, Continuity and Differentiability: JEE Main 2002 Mathematics question

JEE Main 2002 · Annual, Paper 1 · Q4124

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

f

is defined in

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

f\left( x \right) = x

x

is rational

\,\,\,\,\,\,\,\,\,\,\,\,\,

= - x

x

is irrational. Then

JEE Main 2002 · Annual, Paper 1 · Q4124

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

f

is defined in

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

f\left( x \right) = x

x

is rational

\,\,\,\,\,\,\,\,\,\,\,\,\,

= - x

x

is irrational. Then