Calculus Examples

$lim_{x \to 0} \arctan (e^{0})$

Step 1

Evaluate the limit of $\arctan (e^{0})$ which is constant as $x$ approaches $0$ .

$\arctan (e^{0})$

Step 2

Simplify the answer.

Tap for more steps...

Step 2.1

Anything raised to $0$ is $1$ .

$\arctan (1)$

Step 2.2

The exact value of $\arctan (1)$ is $\frac{π}{4}$ .

$\frac{π}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{4}$

Decimal Form:

$0.78539816 \dots$