Calculus Examples

$f' (0) = lim_{h \to 0} \frac{f (0 + h) - f \cdot 0}{h}$

Step 1

Multiply $- f$ by $0$ .

$f' (0) = lim_{h \to 0} \frac{f (0 + h) + 0}{h}$

Step 2

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

$f' (0) = Does not exist$

Step 3

The limit does not exist.

$Does not exist$