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© examsnet.com
Question : 18
Total: 24
If
l
1
=
d
d
x
(
e
sinx
)
l
2
=
lim
h
→
0
e
sin
(
x
+
h
)
−
e
sinx
h
l
3
=
∫
e
sinx
cosx
d
x
Then which one of the following is correct?
[NDA II 2017]
l
1
≠
l
2
d
d
x
(
l
3
)
=
l
2
∫
l
3
d
x
=
l
2
l
2
=
l
3
Validate
Solution:
l
1
=
d
d
x
e
sin
x
l
2
=
lim
n
→
0
e
sin
(
x
+
n
)
−
e
sin
x
n
=
d
d
x
e
sin
x
=
l
1
l
3
=
∫
e
sin
x
cos
x
d
x
=
∫
e
t
d
t
=
e
t
+
c
=
e
sin
x
+
c
d
d
x
(
l
3
)
=
d
d
x
e
sin
x
=
l
2
© examsnet.com
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