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UPSEE 2017 Solved Paper
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© examsnet.com
Question : 128
Total: 150
The
lim
y
→
a
{
(
sin
y
−
a
2
)
.
(
tan
π
y
2
a
)
}
is
2
a
π
a
π
−
a
π
a
2
π
Validate
Solution:
Let
L
=
lim
y
→
a
{
(
sin
y
−
a
2
)
.
(
tan
π
y
2
a
)
}
=
lim
y
→
a
sin
y
−
a
2
cot
π
y
2
a
[
0
0
.
form
]
Using by L'Hospital rule, we get
=
lim
y
→
a
1
2
cos
y
−
a
2
−
π
2
a
cosec
2
π
y
2
a
=
1
2
×
1
−
π
2
a
.
1
=
−
a
π
© examsnet.com
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