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

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

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

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

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

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

Plug in the value

x = 1

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

Simplify

\frac{1 + 2}{1 ^{3} + 8} : \frac{1}{3}

= \frac{1}{3}

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