What is the limit as x approaches 0 of x/(-4x^3-8x) ?

The limit as x approaches 0 of x/(-4x^3-8x) is -1/8

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limit as x approaches 0 of x/(-4x^3-8x)

x \to 0 lim (\frac{x}{- 4 x ^{3} - 8 x})

- \frac{1}{8}

Decimal Notation

- 0.125

Solution steps

x \to 0 lim (\frac{x}{- 4 x ^{3} - 8 x})

Simplify

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

= x \to 0 lim (- \frac{1}{4 ( x ^{2} + 2 )})

Plug in the value

x = 0

= - \frac{1}{4 ( 0 ^{2} + 2 )}

Simplify

= - \frac{1}{8}

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What is the limit as x approaches 0 of x/(-4x^3-8x) ?
The limit as x approaches 0 of x/(-4x^3-8x) is -1/8