Calculus Examples

$lim_{x \to \frac{π}{2}} \cos (\sin (x))$

Step 1

Evaluate the limit.

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Step 1.1

Move the limit inside the trig function because cosine is continuous.

$\cos (lim_{x \to \frac{π}{2}} \sin (x))$

Step 1.2

Move the limit inside the trig function because sine is continuous.

$\cos (\sin (lim_{x \to \frac{π}{2}} x))$

Step 2

Evaluate the limit of $x$ by plugging in $\frac{π}{2}$ for $x$ .

$\cos (\sin (\frac{π}{2}))$

Step 3

Simplify the answer.

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Step 3.1

The exact value of $\sin (\frac{π}{2})$ is $1$ .

$\cos (1)$

Step 3.2

Evaluate $\cos (1)$ .

$0.5403023$