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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
0
x
ln
(
1
+
x
2
)
sin
(
1
x
)
\displaystyle \lim_{x \to 0} x\,\ln(1+x^{2})\,\sin\!\left(\tfrac{1}{x}\right)
x
→
0
lim
x
ln
(
1
+
x
2
)
sin
(
x
1
)
. a)
1
1
1
b)
−
∞
-\infty
−
∞
c)
0
0
0
d) The limit does not exist
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