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TIFR2011MathsA25
+3
votes
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The function
$f(x)
= \begin{cases}
0 & \text{if x is rational} \\
x& \text{if x is irrational}
\end{cases}$
is not continuous anywhere on the real line.
tifrmaths2011
calculus
continuity
asked
Dec 9, 2015
in
Calculus
by
makhdoom ghaya
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(
42.9k
points)

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1
Answer
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votes
False ;
It is continuous at x=0 since f(x
_{0}
)0<a for all a , whenever xx
_{0}
<a.
answered
Apr 3
by
ami
(
19
points)
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