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Mathematics
Mathematics
Problem
Consider
g
(
x
)
=
sin
(
1
x
)
g(x)=\sin\!\bigl(\tfrac{1}{x}\bigr)
g
(
x
)
=
sin
(
x
1
)
. Determine whether
lim
x
→
0
g
(
x
)
\displaystyle \lim_{x\to 0} g(x)
x
→
0
lim
g
(
x
)
exists, and briefly state the specific reason for your conclusion.
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