Calculus Examples

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

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{e^{8}}$

Step 2

Substitute $t$ for $e^{x}$ and let $t$ approach $\frac{1}{e^{8}}$ since $lim_{x \to - 8} e^{x} = \frac{1}{e^{8}}$ .

$lim_{t \to \frac{1}{e^{8}}} \arctan (t)$

Step 3

Evaluate the limits by plugging in $\frac{1}{e^{8}}$ for all occurrences of $t$ .

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Step 3.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\arctan (\frac{1}{e^{8}})$

Step 3.2

Evaluate $\arctan (\frac{1}{e^{8}})$ .

$0.00033546$