Calculus Examples

$lim_{a \to 0} \frac{0.1 - \sin (0.1)}{{0.1}^{2}}$

Step 1

Evaluate the limit of $\frac{0.1 - \sin (0.1)}{{0.1}^{2}}$ which is constant as $a$ approaches $0$ .

$\frac{0.1 - \sin (0.1)}{{0.1}^{2}}$

Step 2

Simplify the answer.

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Step 2.1

Subtract $\sin (0.1)$ from $0.1$ .

$\frac{0.00016658}{{0.1}^{2}}$

Step 2.2

Raise $0.1$ to the power of $2$ .

$\frac{0.00016658}{0.01}$

Step 2.3

Divide $0.00016658$ by $0.01$ .

$0.01665833$