Originally Posted by
letzdiscuss Could someone please help me find the asymptotes for the following functions?
f(x) = arctan(x^4 - x^2) Mr F says: As $\displaystyle x \rightarrow \pm \infty$, $\displaystyle f(x) \rightarrow \frac{\pi}{2}$.
f(x) = cot^-1 (x^2 - x^4) Mr F says: As $\displaystyle x \rightarrow \pm \infty$, $\displaystyle f(x) \rightarrow 0$. As $\displaystyle x \rightarrow 0$, $\displaystyle f(x) \rightarrow + \infty$.