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

The limit as x approaches-3 of (x^3+8)/(x+2) is 19

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

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

19

Solution steps

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

Plug in the value

x = - 3

= \frac{( - 3 ) ^{3} + 8}{- 3 + 2}

Simplify

\frac{( - 3 ) ^{3} + 8}{- 3 + 2} : 19

= 19

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What is the limit as x approaches-3 of (x^3+8)/(x+2) ?
The limit as x approaches-3 of (x^3+8)/(x+2) is 19