Question

Find \(lim_{x\rightarrow 0}(\dfrac{1}{x^4}-\dfrac{3x-x^3}{3arctan x})\)
Please, help

Answer 1

\[\large \lim_{x\rightarrow 0}\dfrac{3x-x^3}{3\arctan x} \]

you may start by showing the above limit is finite\(\), then the actual limit in question becomes \(\infty\) as \(\lim\limits_{x\to 0} \dfrac{1}{x^4} = \infty\)

Answer 2

Thank you, I got it.