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

The limit as x approaches 3 of (x^3-1)/(x-1) is 13

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

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

13

Solution steps

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

Plug in the value

x = 3

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

Simplify

= 13

sin (π - x)

\frac{\partial ^{2}}{\partial x ^{2}} (ln (3 x + 3 c t))

\int_{0}^{1} \frac{40}{x ^{2} - 100} d x

2^{x}, (0, 2)

x \to 8 lim (x^{2} - 9)

What is the limit as x approaches 3 of (x^3-1)/(x-1) ?
The limit as x approaches 3 of (x^3-1)/(x-1) is 13