Answer
$16$
Work Step by Step
We are given the function:
$f(x)=\dfrac{9(\sqrt{2x-x^4}-\sqrt[3]x)}{1-x^{3/4}}$.
In order to determine $\lim\limits_{x \to 1} f(x)$, we graph $f(x)$ and use zoom and trace features to approximate the limit.
We got:
$\lim\limits_{x \to 1} \dfrac{9(\sqrt{2x-x^4}-\sqrt[3]x)}{1-x^{3/4}}=16$
