What is the limit as x approaches 8 of (x^2-64)/(x^2-8x) ?

The limit as x approaches 8 of (x^2-64)/(x^2-8x) is 2

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limit as x approaches 8 of (x^2-64)/(x^2-8x)

x \to 8 lim (\frac{x ^{2} - 64}{x ^{2} - 8 x})

2

Solution steps

x \to 8 lim (\frac{x ^{2} - 64}{x ^{2} - 8 x})

Simplify

\frac{x ^{2} - 64}{x ^{2} - 8 x} : \frac{x + 8}{x}

= x \to 8 lim (\frac{x + 8}{x})

Plug in the value

x = 8

= \frac{8 + 8}{8}

Simplify

= 2

What is the limit as x approaches 8 of (x^2-64)/(x^2-8x) ?
The limit as x approaches 8 of (x^2-64)/(x^2-8x) is 2