Calculus Examples

$lim_{x \to 7} \frac{6.9 - 7}{{6.9}^{2} - 49}$

Step 1

Evaluate the limit of $\frac{6.9 - 7}{{6.9}^{2} - 49}$ which is constant as $x$ approaches $7$ .

$\frac{6.9 - 7}{{6.9}^{2} - 49}$

Step 2

Simplify the answer.

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Step 2.1

Subtract $7$ from $6.9$ .

$\frac{- 0.1}{{6.9}^{2} - 49}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raise $6.9$ to the power of $2$ .

$\frac{- 0.1}{47.61 - 49}$

Step 2.2.2

Subtract $49$ from $47.61$ .

$\frac{- 0.1}{- 1.39}$

Step 2.3

Divide $- 0.1$ by $- 1.39$ .

$0.07194244$