Calculus Examples

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

Step 1

Evaluate $\cos (\frac{1}{8})$ .

$0.99219766$

Step 2

Substitute $t$ for $\cos (\frac{1}{x})$ and let $t$ approach $0.99219766$ since $lim_{x \to 8} \cos (\frac{1}{x}) = 0.99219766$ .

$lim_{t \to 0.99219766} \arctan (t)$

Step 3

Evaluate the limits by plugging in $0.99219766$ for all occurrences of $t$ .

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Step 3.1

Evaluate $\cos (\frac{1}{8})$ .

$\arctan (0.99219766)$

Step 3.2

Evaluate $\arctan (0.99219766)$ .

$0.78148173$