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Problems
Mathematics
Mathematics
Problem
Find
lim
x
→
0
x
2
sin
(
1
/
x
)
1
+
x
2
cos
2
(
1
/
x
)
\displaystyle \lim_{x\to 0} \dfrac{x^{2}\sin(1/x)}{1+x^{2}\cos^{2}(1/x)}
x
→
0
lim
1
+
x
2
cos
2
(
1/
x
)
x
2
sin
(
1/
x
)
. a)
1
1
1
b) The limit does not exist c)
0
0
0
d)
−
1
-1
−
1
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