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Byju's Answer
Standard XI
Mathematics
Graph of Trigonometric Ratios
The function ...
Question
The
function
f
(
x
)
=
sec
x
is
continuous
for
all
x
∈
R
.
A
False
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B
True
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Solution
The correct option is
A
False
Suggest Corrections
0
Similar questions
Q.
Let
f
:
R
→
R
be a continuous function satisfying
f
(
0
)
=
1
and
f
(
2
x
)
−
f
(
x
)
=
x
, for all
x
∈
R
.
Then
f
(
2020
)
equals
Q.
Let
f
(
x
)
=
⎧
⎪
⎨
⎪
⎩
lim
n
→
∞
e
x
2
−
1
+
[
(
a
+
b
)
x
−
(
a
−
b
)
]
x
2
n
x
2
n
+
1
+
cos
x
−
1
,
x
∈
R
−
{
0
}
k
,
x
=
0
If
f
(
x
)
is continuous for all
x
∈
R
, then
Q.
Let
f
:
R
→
R
be a continuous function such that
f
(
x
)
+
f
(
x
+
1
)
=
2
,
for all
x
∈
R
.
If
I
1
=
∫
8
0
f
(
x
)
d
x
and
I
2
=
∫
3
−
1
f
(
x
)
d
x
then the value of
I
1
+
2
I
2
is equal to
Q.
Let
f
(
x
+
y
)
=
f
(
x
)
+
f
(
y
)
for all x and y. If the function
f
(
x
)
is continuous at
x
=
0
, show that
f
(
x
)
is continuous for all x.
Q.
If
g
(
x
)
is a continuous function
∀
x
∈
R
and the range of
f
(
x
)
is
(
2
,
√
26
)
and
g
(
x
)
=
[
f
(
x
)
c
]
is continuous
∀
x
∈
R
, then the positive value of
c
is (where
[
.
]
denotes the greatest integer function)
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