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Mathematics
Mathematics
Problem
Let
[
t
]
[t]
[
t
]
denote the greatest integer
≤
t
\leq t
≤
t
. The number of points where the function
f
(
x
)
=
[
x
]
x
2
−
1
+
sin
(
π
[
x
]
+
3
)
−
[
x
+
1
]
,
x
∈
(
−
2
,
2
)
f(x) = [x]x^2 - 1 + \sin\left(\frac{\pi}{[x] + 3}\right) - [x + 1], x \in (-2, 2)
f
(
x
)
=
[
x
]
x
2
−
1
+
sin
(
[
x
]
+
3
π
)
−
[
x
+
1
]
,
x
∈
(
−
2
,
2
)
is not continuous is (a) 1 (b) 2 (c) 4 (d) 3
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