Calculus Examples

$lim_{x \to 3} \arctan (e^{x})$

Step 1

Evaluate the limit of $x$ by plugging in $3$ for $x$ .

$e^{3}$

Step 2

Substitute $t$ for $e^{x}$ and let $t$ approach $e^{3}$ since $lim_{x \to 3} e^{x} = e^{3}$ .

$lim_{t \to e^{3}} \arctan (t)$

Step 3

Evaluate the limits by plugging in $e^{3}$ for all occurrences of $t$ .

Tap for more steps...

Step 3.1

Evaluate the limit of $x$ by plugging in $3$ for $x$ .

$\arctan (e^{3})$

Step 3.2

Evaluate $\arctan (e^{3})$ .

$1.52105033$