Calculus Examples

$\frac{lim_{a \to 0} \sin (a)}{a}$

Step 1

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

$\frac{\sin (lim_{a \to 0} a)}{a}$

Step 2

Evaluate the limit of $a$ by plugging in $0$ for $a$ .

$\frac{\sin (0)}{a}$

Step 3

Simplify the answer.

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Step 3.1

The exact value of $\sin (0)$ is $0$ .

$\frac{0}{a}$

Step 3.2

Divide $0$ by $a$ .

$0$