What is the limit as x approaches 1 of (x^3-8)/(x-2) ?

The limit as x approaches 1 of (x^3-8)/(x-2) is 7

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limit as x approaches 1 of (x^3-8)/(x-2)

x \to 1 lim (\frac{x ^{3} - 8}{x - 2})

7

Solution steps

x \to 1 lim (\frac{x ^{3} - 8}{x - 2})

Plug in the value

x = 1

= \frac{1 ^{3} - 8}{1 - 2}

Simplify

\frac{1 ^{3} - 8}{1 - 2} : 7

= 7

x \to \frac{π}{3} lim (2 sin (5 x))

x \to 2 lim (3 x^{3} + 8 x - 4)

x \to 4 lim (x^{2} + x)

x \to 1 - lim ((1 - x) ln (1 - x))

x \to 2 + lim (x^{2} - 2)

What is the limit as x approaches 1 of (x^3-8)/(x-2) ?
The limit as x approaches 1 of (x^3-8)/(x-2) is 7