finding limit of trig

**maybnxtseasn** · February 3rd 2010, 11:09 AM

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

**pickslides** · February 3rd 2010, 12:07 PM

What do you think of this?

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

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

$<br /> = \frac{\pi}{1} = \pi<br />$

**adkinsjr** · February 3rd 2010, 12:09 PM

Originally Posted by maybnxtseasn

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

It's in determinant form isn't it? You don't need to do any simplification. You can use direct substitution.

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

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

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

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