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Byju's Answer
Standard XII
Mathematics
Graph of Trigonometric Ratios
The nbsp;fu...
Question
The
function
f
(
x
)
=
cosec
x
is
discontinuous
at
x
=
n
π
,
n
∈
Z
.
A
False
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B
True
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Similar questions
Q.
The function
f
x
=
1
,
x
≥
1
1
n
2
,
1
n
<
x
<
1
n
-
1
,
n
=
2
,
3
,
.
.
.
0
,
x
=
0
(a) is discontinuous at finitely many points
(b) is continuous everywhere
(c) is discontinuous only at
x
=
±
1
n
, n ∈ Z − {0} and x = 0
(d) none of these
Q.
The
function
f
(
x
)
=
cosec
x
is
discontinuous
at
x
=
n
π
,
n
∈
Z
.
Q.
Consider the functions
f
(
x
)
=
s
i
n
(
x
−
1
)
and
g
(
x
)
=
cot
−
1
[
x
−
1
]
Assertion: The function
F
(
x
)
=
f
(
x
)
.
g
(
x
)
is discontinuous at
x
=
1
Reason: If
f
(
x
)
is discontinuous at
x
=
a
and
g
(
x
)
is also discontinuous at
x
=
a
then the product function
f
(
x
)
.
g
(
x
)
is discontinuous at
x
=
a
.
Q.
Function
f
(
x
)
=
[
x
]
is discontinuous at-
Q.
The function f(x)=tan x is discontinuous at x =
.
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Graph of Trigonometric Ratios
Standard XII Mathematics
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