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Byju's Answer
Standard XII
Mathematics
Circum Radius
9. Let f(x)=l...
Question
9. Let f(x)=log(cos2ix) {base of logarithm is (cos3x)}. If x is not equal to zero and f(0)=k (i=-1) is continuous at x=0 then find the value of k.
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Similar questions
Q.
Let
f
(
x
)
=
(
27
−
2
x
)
1
/
3
−
3
9
−
3
(
243
+
5
x
)
1
/
5
,
x
≠
0.
If
f
(
x
)
is continuous at
x
=
0
, then the value of
f
(
0
)
is
Q.
If
f
(
x
)
=
log
(
1
+
a
x
)
−
l
o
g
(
1
−
b
x
)
x
for
x
≠
0
and
f
(
0
)
=
k
and
f
(
x
)
is continuous at
x
=
0
, then
k
is equal to:
Q.
If the function
f
is continuous at
x
=
0
, find
f
(
0
)
where
f
(
x
)
=
cos
3
x
−
cos
x
x
2
,
x
≠
0
Q.
If
f
(
x
)
=
9
−
2
/
x
2
,
x
≠
0
is continuous at
x
=
0
,
then the value of
f
(
0
)
is
Q.
If
f
(
x
)
is continuous and
f
(
9
2
)
=
2
9
, then
l
i
m
x
→
0
f
(
1
−
cos
3
x
x
2
)
is equal to :
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