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Mathematics
Problem
Evaluate
lim
x
→
1
+
x
2
−
1
(
x
−
1
)
∣
x
−
1
∣
\displaystyle \lim_{x\to 1^{+}} \frac{x^{2}-1}{(x-1)\lvert x-1 \rvert}
x
→
1
+
lim
(
x
−
1
)
∣
x
−
1
∣
x
2
−
1
.
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