Evaluate limit as n approaches 8 of (cos(n))/n

$lim_{n \to 8} \frac{\cos (n)}{n}$

Take the limit of each term.

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Split the limit using the Limits Quotient Rule on the limit as $n$ approaches $8$ .

$\frac{(lim_{n \to 8} \cos (n))}{(lim_{n \to 8} n)}$

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

$\frac{\cos (lim_{n \to 8} n)}{lim_{n \to 8} n}$

Evaluate the limits by plugging in $8$ for all occurrences of $n$ .

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

$\frac{\cos (8)}{lim_{n \to 8} n}$

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

$\frac{\cos (8)}{8}$

Simplify the answer.

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Evaluate $\cos (8)$ .

$\frac{0.99026806}{8}$

Divide $0.99026806$ by $8$ .

$0.1237835$

Evaluate limit as n approaches 8 of (cos(n))/n

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