# Thread: Need a little confirmation on limit of tan(x)/x

1. ## Need a little confirmation on limit of tan(x)/x

So I have been asked to find the $\lim_{x\to 0} \frac{tan(x)}{x}=1$
Not sure how to do a delta/epsilon proof on this one
any help?

2. By definition is...

$\frac{\tan x}{x} = \frac{1}{\cos x}\cdot \frac{\sin x}{x}$ (1)

The second term of (1) is the product of a function that is 'well defined' in $x=0$ and a function the limit of which for $x \rightarrow 0$ is know as 'fundamental limit'...

Kind regards

$\chi$ $\sigma$