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Byju's Answer
Standard XII
Mathematics
Local Maxima
Let f x=∫1x...
Question
Let
f
(
x
)
=
∫
x
1
1
t
d
t
then
f
(
e
)
equals
A
1
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B
2
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C
1
/
2
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D
0
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Solution
The correct option is
A
1
Given,
f
(
x
)
=
∫
x
1
1
t
d
t
or,
f
(
x
)
=
log
x
.
Now
f
(
e
)
=
log
e
=
1
.
Suggest Corrections
0
Similar questions
Q.
Let
F
(
x
)
=
f
(
x
)
+
f
(
1
x
)
, where
f
(
x
)
=
∫
x
1
log
t
1
+
t
d
t
. Then
F
(
e
)
equals -
Q.
Let F(x) = f(x) +
f
(
1
x
)
,
f
(
x
)
=
∫
x
1
l
o
g
t
1
+
t
d
t
.
Then F(e) equals
Q.
Let
F
(
x
)
=
f
(
x
)
+
f
(
1
x
)
where
f
(
x
)
=
∫
x
1
log
t
1
+
t
d
t
Then
F
(
e
)
is equal to?
Q.
Let
F
(
x
)
=
f
(
x
)
+
f
(
1
x
)
,
where
f
(
x
)
=
∫
x
1
log
t
1
+
t
d
t
.
Then,
F
(
e
)
equals
Q.
Let F(x) = f(x) +
f
(
1
x
)
, where f(x) =
∫
x
1
l
o
g
t
1
+
t
d
t
. Then F(e) =
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