Calculus Examples

$lim_{x \to 8} \arctan (\frac{1}{x^{2}})$

Step 1

Raise $8$ to the power of $2$ .

$\frac{1}{64}$

Step 2

Substitute $t$ for $\frac{1}{x^{2}}$ and let $t$ approach $\frac{1}{64}$ since $lim_{x \to 8} \frac{1}{x^{2}} = \frac{1}{64}$ .

$lim_{t \to \frac{1}{64}} \arctan (t)$

Step 3

Evaluate the limits by plugging in $\frac{1}{64}$ for all occurrences of $t$ .

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Step 3.1

Raise $8$ to the power of $2$ .

$\arctan (\frac{1}{64})$

Step 3.2

Evaluate $\arctan (\frac{1}{64})$ .

$0.01562372$