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Mathematics
Problem
Evaluate
lim
x
→
−
1
[
x
2
+
3
x
+
2
2
x
2
−
1
+
5
∣
x
+
1
∣
]
\displaystyle \lim_{x\to -1}\left[\frac{\sqrt{x^{2}+3x+2}}{2x^{2}-1}+5\lvert x+1\rvert\right]
x
→
−
1
lim
[
2
x
2
−
1
x
2
+
3
x
+
2
+
5
∣
x
+
1
∣
]
.
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