What is the limit as x approaches 2 of (x^3-1)/(x-1) ?

The limit as x approaches 2 of (x^3-1)/(x-1) is 7

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limit as x approaches 2 of (x^3-1)/(x-1)

x \to 2 lim (\frac{x ^{3} - 1}{x - 1})

7

Solution steps

x \to 2 lim (\frac{x ^{3} - 1}{x - 1})

Plug in the value

x = 2

= \frac{2 ^{3} - 1}{2 - 1}

Simplify

= 7

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What is the limit as x approaches 2 of (x^3-1)/(x-1) ?
The limit as x approaches 2 of (x^3-1)/(x-1) is 7