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COMEDK Exam 2019 Solved Paper
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© examsiri.com
Question :
174 of 180
Marks:
+1
,
-0
lim
x
→
∞
x
s
i
n
‌
(
‌
2
x
)
is equal to
∞
0
2
‌
1
2
Validate
Solution:
We have,
‌
‌
‌
‌
‌
lim
x
→
∞
x
s
i
n
‌
(
‌
2
x
)
=
lim
x
→
∞
‌
s
i
n
‌
(
2
x
)
(
‌
2
x
)
×
2
‌
‌
Put
‌
‌
2
x
=
y
.
‌
‌
Then
‌
x
→
∞
‌
⇒
‌
2
x
→
0
⇒
y
→
0
‌
∴
‌
‌
lim
x
→
∞
‌
s
i
n
‌
(
2
x
)
(
‌
2
x
)
×
2
‌
‌
‌
=
lim
y
→
0
‌
s
i
n
‌
y
y
×
2
=
1
×
2
=
2
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