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Mathematics
Mathematics
Problem
Compute
lim
x
→
∞
(
ln
(
x
+
x
2
+
1
)
−
ln
x
)
\displaystyle\lim_{x\to\infty}\left(\ln\!\left(x+\sqrt{x^{2}+1}\right)-\ln x\right)
x
→
∞
lim
(
ln
(
x
+
x
2
+
1
)
−
ln
x
)
. a)
0
0
0
b)
∞
\infty
∞
c)
ln
2
\ln 2
ln
2
d)
1
2
\dfrac{1}{2}
2
1
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