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Mathematics
Mathematics
Problem
If
f
(
x
)
=
{
x
−
∣
x
∣
x
,
x
≠
0
2
,
x
=
0
f(x) = \begin{cases} \frac{x - |x|}{x}, & x \neq 0 \\ 2, & x = 0 \end{cases}
f
(
x
)
=
{
x
x
−
∣
x
∣
,
2
,
x
=
0
x
=
0
, show that
lim
x
→
0
f
(
x
)
\lim_{x \to 0} f(x)
lim
x
→
0
f
(
x
)
does not exist.
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