Calculus Examples

$\frac{lim_{x \to 8} x}{6 x - 10}$

Step 1

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$\frac{8}{6 x - 10}$

Step 2

Cancel the common factor of $8$ and $6 x - 10$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{2 (4)}{6 x - 10}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $6 x$ .

$\frac{2 (4)}{2 (3 x) - 10}$

Step 2.2.2

Factor $2$ out of $- 10$ .

$\frac{2 \cdot 4}{2 (3 x) + 2 \cdot - 5}$

Step 2.2.3

Factor $2$ out of $2 (3 x) + 2 (- 5)$ .

$\frac{2 (4)}{2 (3 x - 5)}$

Step 2.2.4

Cancel the common factor.

$\frac{2 \cdot 4}{2 (3 x - 5)}$

Step 2.2.5

Rewrite the expression.

$\frac{4}{3 x - 5}$