Calculus Examples

$lim_{x \to 3} \frac{{0.9}^{2} - 0.9}{0.9 - 1}$

Step 1

Evaluate the limit of $\frac{{0.9}^{2} - 0.9}{0.9 - 1}$ which is constant as $x$ approaches $3$ .

$\frac{{0.9}^{2} - 0.9}{0.9 - 1}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $0.9$ to the power of $2$ .

$\frac{0.81 - 0.9}{0.9 - 1}$

Step 2.1.2

Subtract $0.9$ from $0.81$ .

$\frac{- 0.09}{0.9 - 1}$

Step 2.2

Subtract $1$ from $0.9$ .

$\frac{- 0.09}{- 0.1}$

Step 2.3

Divide $- 0.09$ by $- 0.1$ .

$0.9$