Calculus Examples

$lim_{x \to 0} \frac{3 \tan (x) - 2 x - 2 + 4 x^{2}}{2 x^{4}}$

Step 1

Since the numerator is negative and the denominator $2 x^{4}$ approaches zero and is greater than zero for $x$ near $0$ on both sides, the function decreases without bound.

$- \infty$