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If
f
(
x
)
=
{
x
,
if
x
is rational
−
x
,
if
x
is irrational
f(x) = \begin{cases} x, & \text{if } x \text{ is rational} \\ -x, & \text{if } x \text{ is irrational} \end{cases}
f
(
x
)
=
{
x
,
−
x
,
if
x
is rational
if
x
is irrational
…
Mathematics
Problem
If
f
(
x
)
=
{
x
,
if
x
is rational
−
x
,
if
x
is irrational
f(x) = \begin{cases} x, & \text{if } x \text{ is rational} \\ -x, & \text{if } x \text{ is irrational} \end{cases}
f
(
x
)
=
{
x
,
−
x
,
if
x
is rational
if
x
is irrational
, then
lim
x
→
0
f
(
x
)
\lim_{x \rightarrow 0} f(x)
lim
x
→
0
f
(
x
)
is (a) Equal to 0 (b) Equal to 1 (c) Equal to -1 (d) Indeterminate
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