Calculus Examples

$f (x) = {\begin{cases} e^{x} & x < 0 \\ x^{2} & x > 0 \end{cases}$

Step 1

Since there is no value at $0$ , the function is not continuous.

Not continuous

Step 2

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$