Calculus Examples

$lim_{x \to 1} \cos (\frac{x}{3})$

Step 1

Evaluate the limit.

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Step 1.1

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

$\cos (lim_{x \to 1} \frac{x}{3})$

Step 1.2

Move the term $\frac{1}{3}$ outside of the limit because it is constant with respect to $x$ .

$\cos (\frac{1}{3} lim_{x \to 1} x)$

Step 2

Evaluate the limit of $x$ by plugging in $1$ for $x$ .

$\cos (\frac{1}{3} \cdot 1)$

Step 3

Simplify the answer.

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Step 3.1

Multiply $\frac{1}{3}$ by $1$ .

$\cos (\frac{1}{3})$

Step 3.2

Evaluate $\cos (\frac{1}{3})$ .

$0.94495694$