Calculus Examples

$lim_{x \to 3} \frac{{(3.1)}^{2} - 4 \cdot 3.1 + 3}{(3.1) - 3}$

Step 1

Evaluate the limit of $\frac{{(3.1)}^{2} - 4 \cdot 3.1 + 3}{(3.1) - 3}$ which is constant as $x$ approaches $3$ .

$\frac{{(3.1)}^{2} - 4 \cdot 3.1 + 3}{(3.1) - 3}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $3.1$ to the power of $2$ .

$\frac{9.61 - 4 \cdot 3.1 + 3}{3.1 - 3}$

Step 2.1.2

Multiply $- 4$ by $3.1$ .

$\frac{9.61 - 12.4 + 3}{3.1 - 3}$

Step 2.1.3

Subtract $12.4$ from $9.61$ .

$\frac{- 2.79 + 3}{3.1 - 3}$

Step 2.1.4

Add $- 2.79$ and $3$ .

$\frac{0.21}{3.1 - 3}$

Step 2.2

Subtract $3$ from $3.1$ .

$\frac{0.21}{0.1}$

Step 2.3

Divide $0.21$ by $0.1$ .

$2.1$