Calculus Examples

$lim_{x \to 8} \arctan (\ln (x))$

Step 1

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

$\ln (8)$

Step 2

Substitute $t$ for $\ln (x)$ and let $t$ approach $\ln (8)$ since $lim_{x \to 8} \ln (x) = \ln (8)$ .

$lim_{t \to \ln (8)} \arctan (t)$

Step 3

Evaluate the limits by plugging in $\ln (8)$ for all occurrences of $t$ .

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Step 3.1

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

$\arctan (\ln (8))$

Step 3.2

Evaluate $\arctan (\ln (8))$ .

$1.12254648$