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VITEEE 2017 Solved Paper
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© examsnet.com
Question : 116
Total: 125
The set of points of discontinuity of the function
f (x) =
lim
n
→
∞
(
2
s
i
n
x
)
2
n
3
n
−
(
2
c
o
s
x
)
2
n
is given is
R
{
n
π
±
π
3
,
n
∊
1
}
{
n
π
±
π
6
,
n
∊
1
}
None of these
Validate
Solution:
We have, f (x) =
lim
n
→
∞
(
2
s
i
n
x
)
2
n
3
n
−
(
2
c
o
s
x
)
2
n
=
lim
n
→
∞
(
2
s
i
n
x
)
2
n
(
√
3
)
2
n
−
(
2
c
o
s
x
)
2
n
f(x) is discontinuous when
(
√
3
)
2
n
−
(
2
c
o
s
x
)
2
n
= 0
i.e. cos x = ±
√
3
2
⇒ x = nπ ±
π
6
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