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Byju's Answer
Standard IX
Mathematics
Period of a Function
The period of...
Question
The period of the function sin 3x + {x} (where {.} is fractional part of x)
A
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B
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C
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D
Does not exist
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Solution
The correct option is
D
Does not exist
L.C.M of
2
π
3
and 1 is not possible
Suggest Corrections
1
Similar questions
Q.
The period of the function sin 3x + {x} (where {.} is fractional part of x)
Q.
Fundamental period of the function
f
(
x
)
=
cos
(
2
π
{
2
x
}
)
is, where
{
x
}
fractional part of
x
Q.
The period of function
2
{
x
}
+
sin
π
x
+
3
{
x
/
2
}
+
cos
2
π
x
(where
{
x
}
denotes the fractional part of
x
) is
Q.
Period of the function
f
(
x
)
=
sin
(
sin
(
π
x
)
)
+
e
{
3
x
}
, where
{
⋅
}
denotes the fractional part of
x
, is:
Q.
Consider the function
f
(
x
)
=
sin
(
k
x
)
+
{
x
}
, where
{
x
}
represents the fractional part function
Statement 1:
f
(
x
)
is periodic for
k
=
m
π
, where
m
is a rational number
Statement 2: The sum of two periodic functions is always periodic
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