If for all , then the greatest value of…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

\sin x+x\geq|k|x^2

for all

x\in[0,\pi/2]

, then the greatest value of

k

is (1)

\dfrac{-2(2+\pi)}{\pi^2}

(2)

\dfrac{2(2+\pi)}{\pi^2}

(3) Cannot be determined finitely (4)

0