Calculus Examples

$lim_{x \to 8} \arctan (e^{x})$

Step 1

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$e^{8}$

Step 2

Substitute $t$ for $e^{x}$ and let $t$ approach $e^{8}$ since $lim_{x \to 8} e^{x} = e^{8}$ .

$lim_{t \to e^{8}} \arctan (t)$

Step 3

Evaluate the limits by plugging in $e^{8}$ for all occurrences of $t$ .

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Step 3.1

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$\arctan (e^{8})$

Step 3.2

Evaluate $\arctan (e^{8})$ .

$1.57046086$