Calculus Examples

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

Step 1

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

$\frac{3 {(- 0.9)}^{2} + 2 (- 0.9) - 1}{- 0.9 + 1}$

Step 2

Simplify the answer.

Tap for more steps...

Step 2.1

Simplify the numerator.

Tap for more steps...

Step 2.1.1

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

$\frac{3 \cdot 0.81 + 2 (- 0.9) - 1}{- 0.9 + 1}$

Step 2.1.2

Multiply $3$ by $0.81$ .

$\frac{2.43 + 2 (- 0.9) - 1}{- 0.9 + 1}$

Step 2.1.3

Multiply $2$ by $- 0.9$ .

$\frac{2.43 - 1.8 - 1}{- 0.9 + 1}$

Step 2.1.4

Subtract $1.8$ from $2.43$ .

$\frac{0.63 - 1}{- 0.9 + 1}$

Step 2.1.5

Subtract $1$ from $0.63$ .

$\frac{- 0.37}{- 0.9 + 1}$

Step 2.2

Add $- 0.9$ and $1$ .

$\frac{- 0.37}{0.1}$

Step 2.3

Divide $- 0.37$ by $0.1$ .

$- 3.7$