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Problem
Problem
If
sin
x
+
x
≥
∣
k
∣
x
2
,
∀
x
∈
[
0
,
π
/
2
]
\sin x + x \ge |k|x^2, \forall x \in [0, \pi/2]
sin
x
+
x
≥
∣
k
∣
x
2
,
∀
x
∈
[
0
,
π
/2
]
, then the greatest value of
k
k
k
, is a.
−
2
(
2
+
π
)
π
2
\frac{-2(2+\pi)}{\pi^2}
π
2
−
2
(
2
+
π
)
b.
2
(
2
+
π
)
π
2
\frac{2(2+\pi)}{\pi^2}
π
2
2
(
2
+
π
)
c. can't be determined finitely d. zero
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