Calculus Examples

$lim_{x \to 8} \sin (\arctan (x))$

Step 1

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

$\sin (lim_{x \to 8} \arctan (x))$

Step 2

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

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Step 2.1

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

$\sin (\arctan (8))$

Step 2.2

Evaluate $\arctan (8)$ .

$\sin (1.44644133)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sin (1.44644133)$

Decimal Form:

$0.99227787 \dots$