Calculus Examples

$lim_{X \to 0} \frac{\cos (x) - 1 + \frac{1}{2} x^{2}}{2 x^{4}}$

Step 1

Evaluate the limit of $\frac{\cos (x) - 1 + \frac{1}{2} x^{2}}{2 x^{4}}$ which is constant as $X$ approaches $0$ .

$\frac{\cos (x) - 1 + \frac{1}{2} x^{2}}{2 x^{4}}$

Step 2

Combine $\frac{1}{2}$ and $x^{2}$ .

$\frac{\cos (x) - 1 + \frac{x^{2}}{2}}{2 x^{4}}$