Find the trigonometric limit: lim (as x approaches infinity) (x-tan 2x)/sin 2x

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- Dec 28th 2005, 09:32 AMbobby77please help !
Find the trigonometric limit: lim (as x approaches infinity) (x-tan 2x)/sin 2x

- Dec 28th 2005, 12:12 PMCaptainBlackQuote:

Originally Posted by**bobby77**

a limit as x tends to infinity.

RonL - Jan 5th 2006, 10:30 PMearboth
Hi,

do you mean maybe:

lim(as x approaches zero)(x-tan2x)/(sin(2x)) ???

If so

$\displaystyle \lim_\subc{x \rightarrow 0} {\frac{x-\tan{2x}}{\sin{2x}} =-\frac{1}{2}$