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Mathematics
Mathematics
Problem
If function
f
(
x
)
=
{
x
,
if
x
is rational
1
−
x
,
if
x
is irrational
f(x) = \begin{cases} x, & \text{if } x \text{ is rational} \\ 1-x, & \text{if } x \text{ is irrational} \end{cases}
f
(
x
)
=
{
x
,
1
−
x
,
if
x
is rational
if
x
is irrational
, then
f
(
x
)
f(x)
f
(
x
)
is continuous at ..... number of points (a)
∞
\infty
∞
(b) 1 (c) 0 (d) None of these
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