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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
0
1
x
(
1
1
+
x
−
1
)
\displaystyle \lim_{x\to 0}\,\frac{1}{x}\Bigl(\frac{1}{1+x}-1\Bigr)
x
→
0
lim
x
1
(
1
+
x
1
−
1
)
.
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