Calculus Examples

$lim_{x \to 6} \tan (\frac{π x}{4})$

Consider the left sided limit.

$lim_{x \to 6^{-}} \tan (\frac{π x}{4})$

As the $x$ values approach $6$ from the left, the function values increase without bound.

$\infty$

Consider the right sided limit.

$lim_{x \to 6^{+}} \tan (\frac{π x}{4})$

As the $x$ values approach $6$ from the right, the function values decrease without bound.

$- \infty$

Since the left sided and right sided limits are not equal, the limit does not exist.

$Does not exist$