# Limits With Trig Functions

$\lim_{x\rightarrow 0} \frac{\tan{x}}{x}$

This problem is about finding the limit of the function as x approaches zero. What makes trigonometric limits like this different from other types of limits is that they involve trigonometric functions, which behave differently near zero compared to more basic functions like polynomials. In this case, the function involves the tangent, which approaches zero as x gets smaller, but it does so in a specific way that requires more careful consideration.

For trigonometric limits, there are some standard results that help us, like knowing how certain trig functions compare to linear functions near zero. You can't just plug in values directly because of how tangent behaves, so instead, you need to rely on these known behaviors or use limit laws specific to trigonometric functions.