What is the limit as x approaches 6 of (x-6)/(x^2-x) ?

The limit as x approaches 6 of (x-6)/(x^2-x) is 0

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limit as x approaches 6 of (x-6)/(x^2-x)

x \to 6 lim (\frac{x - 6}{x ^{2} - x})

0

Solution steps

x \to 6 lim (\frac{x - 6}{x ^{2} - x})

Plug in the value

x = 6

= \frac{6 - 6}{6 ^{2} - 6}

Simplify

= 0

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What is the limit as x approaches 6 of (x-6)/(x^2-x) ?
The limit as x approaches 6 of (x-6)/(x^2-x) is 0