What is the limit as x approaches 1 of (x^3-1)/(x-6) ?

The limit as x approaches 1 of (x^3-1)/(x-6) is 0

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limit as x approaches 1 of (x^3-1)/(x-6)

x \to 1 lim (\frac{x ^{3} - 1}{x - 6})

0

Solution steps

x \to 1 lim (\frac{x ^{3} - 1}{x - 6})

Plug in the value

x = 1

= \frac{1 ^{3} - 1}{1 - 6}

Simplify

\frac{1 ^{3} - 1}{1 - 6} : 0

= 0

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What is the limit as x approaches 1 of (x^3-1)/(x-6) ?
The limit as x approaches 1 of (x^3-1)/(x-6) is 0