Calculus Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Evaluate the limit of $\arctan (n)$ by plugging in $8$ for $n$ .

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

Step 2.2

Evaluate $\arctan (8)$ .

$\frac{1.44644133}{lim_{n \to 8} n}$

Step 2.3

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

$\frac{1.44644133}{8}$

Step 3

Divide $1.44644133$ by $8$ .

$0.18080516$