Calculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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Step 3.1

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

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

Step 3.2

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

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

Step 4

Simplify the answer.

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Step 4.1

Evaluate $\sin (8)$ .

$\frac{0.1391731}{8}$

Step 4.2

Divide $0.1391731$ by $8$ .

$0.01739663$