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Mathematics
Mathematics
Problem
For the piecewise function
f
(
x
)
=
{
x
+
1
x
−
2
,
x
<
1
,
x
+
3
,
x
≥
1
,
f(x)=\begin{cases} \dfrac{x+1}{x-2}, & x<1,\\ \sqrt{x+3}, & x\ge 1,\end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
2
x
+
1
,
x
+
3
,
x
<
1
,
x
≥
1
,
calculate
lim
x
→
1
−
f
(
x
)
\displaystyle \lim_{x\to 1^-} f(x)
x
→
1
−
lim
f
(
x
)
.
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