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Mathematics
Mathematics
Problem
25. Evaluate
lim
x
→
0
f
(
x
)
\lim _{x \rightarrow 0} f(x)
lim
x
→
0
f
(
x
)
, where
f
(
x
)
=
{
∣
x
∣
x
,
x
≠
0
0
,
x
=
0
f(x)= \begin{cases}\frac{|x|}{x}, & x \neq 0 \\ 0, & x=0\end{cases}
f
(
x
)
=
{
x
∣
x
∣
,
0
,
x
=
0
x
=
0
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