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

The limit as x approaches-2+of (x+2)/(x^3+8) is 1/12

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

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

\frac{1}{12}

Decimal Notation

0.08333 \dots

Solution steps

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

Simplify

\frac{x + 2}{x ^{3} + 8} : \frac{1}{x ^{2} - 2 x + 4}

= x \to - 2 + lim (\frac{1}{x ^{2} - 2 x + 4})

Plug in the value

x = - 2

= \frac{1}{( - 2 ) ^{2} - 2 ( - 2 ) + 4}

Simplify

\frac{1}{( - 2 ) ^{2} - 2 ( - 2 ) + 4} : \frac{1}{12}

= \frac{1}{12}

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What is the limit as x approaches-2+of (x+2)/(x^3+8) ?
The limit as x approaches-2+of (x+2)/(x^3+8) is 1/12