any idea on how to solve this i have no idea where to start on these type of functions :(?

limit of (4x/tanx)

x> (pie/4)

x is approaching pie over 4

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- Feb 3rd 2010, 11:09 AMmaybnxtseasnfinding limit of trig
any idea on how to solve this i have no idea where to start on these type of functions :(?

limit of (4x/tanx)

x> (pie/4)

x is approaching pie over 4 - Feb 3rd 2010, 12:07 PMpickslides
What do you think of this?

$\displaystyle \lim_{x\to \frac{\pi}{4}}\frac{4x}{\tan x}$

$\displaystyle = \frac{4\frac{\pi}{4}}{\tan \frac{\pi}{4}}$

$\displaystyle

= \frac{\pi}{1} = \pi

$ - Feb 3rd 2010, 12:09 PMadkinsjr
It's in determinant form isn't it? You don't need to do any simplification. You can use direct substitution.

$\displaystyle \tan\left(\frac{\pi}{4}\right)=1$

$\displaystyle 4\left(\frac{\pi}{4}\right)=\pi$

So $\displaystyle \lim_{x->\frac{\pi}{4}}\frac{4x}{\tan(x)}=\pi$