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JEE Advanced 2016 Paper 1 Mathematics Q17
Mathematics
Problem
Let
α
,
β
∈
R
\alpha,\beta\in\mathbb R
α
,
β
∈
R
be such that
lim
x
→
0
x
2
sin
(
β
x
)
α
x
−
sin
x
=
1
\displaystyle\lim_{x\to0}\frac{x^2\sin(\beta x)}{\alpha x-\sin x}=1
x
→
0
lim
α
x
−
sin
x
x
2
sin
(
β
x
)
=
1
. Then
6
(
α
+
β
)
6(\alpha+\beta)
6
(
α
+
β
)
equals
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