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Mathematics
Mathematics
Problem
Compute
lim
x
→
0
+
(
1
x
−
1
ln
(
1
+
x
)
)
\displaystyle\lim_{x\to 0^{+}}\left(\frac{1}{x}-\frac{1}{\ln(1+x)}\right)
x
→
0
+
lim
(
x
1
−
ln
(
1
+
x
)
1
)
. a) 0 b)
1
2
\dfrac{1}{2}
2
1
c)
−
1
2
-\dfrac{1}{2}
−
2
1
d) The limit does not exist because the expression diverges to
∞
\infty
∞
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