Calculus Examples

$lim_{x \to 7} \frac{4 - 9}{7 - 1}$

Step 1

Evaluate the limit of $\frac{4 - 9}{7 - 1}$ which is constant as $x$ approaches $7$ .

$\frac{4 - 9}{7 - 1}$

Step 2

Simplify the answer.

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Step 2.1

Subtract $9$ from $4$ .

$\frac{- 5}{7 - 1}$

Step 2.2

Subtract $1$ from $7$ .

$\frac{- 5}{6}$

Step 2.3

Move the negative in front of the fraction.

$- \frac{5}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{6}$

Decimal Form:

$- 0.8\overline{3}$