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 1/4

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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}{4}

Decimal Notation

0.25

Solution steps

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

Plug in the value

x = 2

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

Simplify

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

= \frac{1}{4}

\int (\frac{2}{1 + x ^{2}}) d x

\frac{x ^{5} - 5}{x + 1}

x \to 4 lim (9 x + ∣ x - 4 ∣)

x d y + y d x = 3 d x

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 1/4