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

The limit as x approaches 2 of (x^3+3)/(x-3) is -11

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

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

- 11

Solution steps

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

Plug in the value

x = 2

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

Simplify

\frac{2 ^{3} + 3}{2 - 3} : - 11

= - 11

x \to 0 + lim (\frac{8 x ^{2} + 245 x}{x})

x \to 0 + lim (x \cdot ln^{2} (x))

x \to 0 + lim (\frac{x}{e ^{- \frac{7}{x}}})

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

x \to 3 lim (\frac{[ x - 3 ]}{x - 3})

What is the limit as x approaches 2 of (x^3+3)/(x-3) ?
The limit as x approaches 2 of (x^3+3)/(x-3) is -11