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Problems
lim
x
→
0
[
sin
(
sgn
(
x
)
)
sgn
(
x
)
]
\lim_{x \rightarrow 0}\left[\frac{\sin(\operatorname{sgn}(x))}{\operatorname{sgn}(x)}\right]
lim
x
→
0
[
sgn
(
x
)
s
i
n
(
sgn
(
x
))
]
…
Mathematics
Problem
lim
x
→
0
[
sin
(
sgn
(
x
)
)
sgn
(
x
)
]
\lim_{x \rightarrow 0}\left[\frac{\sin(\operatorname{sgn}(x))}{\operatorname{sgn}(x)}\right]
lim
x
→
0
[
sgn
(
x
)
s
i
n
(
sgn
(
x
))
]
, where
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function is equal to (a) 0 (b) 1 (c) -1 (d) does not exist
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