\pi $

Asked Dec 10 '13 at 04:30

Active Nov 22 '15 at 07:23

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We have to prove that for $0 < x < \pi/2$ ; $1 > \frac{\sin(x)}{x} > \frac{2}{\pi}$ . This is a simple problem . I just want to know what I am doing is correct or not . At $0$ function is very close to $1$ and $f(\pi/2) = 2/\pi$ .

If I prove that $f(x)$ is monotonically decreasing in this domain , then that will be enough , isn't it ?

edited Nov 22 '15 at 07:23

Martin Sleziak

53,687

asked Dec 10 '13 at 04:30

abkds

2,210

Yes, that will be enough. – Eric Auld Dec 10 '13 at 04:34
1

@EricAuld Thank you :) ! – abkds Dec 10 '13 at 04:46
Duplicate of http://math.stackexchange.com/q/596634/ and I have provided the answer based on the decreasing nature of $f(x)$. So you are on right track. – Paramanand Singh Dec 10 '13 at 09:01

functions $\sin(x)/x$ is between $1$ and $2/\pi $

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