Calculus Examples

$lim_{x \to 0} \frac{\int_{0}^{x} \frac{t^{2}}{t^{4} + 1} d t}{x^{3}}$

Step 1

Since the function approaches $\infty$ from the left and $- \infty$ from the right, the limit does not exist.

$\frac{d}{d x} [Does not exist]$