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Mathematics
Mathematics
Problem
Determine the value of
lim
x
→
0
+
x
ln
(
1
+
x
sin
(
1
x
)
)
.
\lim_{x\to 0^{+}} x\,\ln\bigl(1+\sqrt{x}\,\sin\left(\frac{1}{x}\right)\bigr).
x
→
0
+
lim
x
ln
(
1
+
x
sin
(
x
1
)
)
.
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