What is the limit as x approaches 0+of x/(-3x^3-10x) ?

The limit as x approaches 0+of x/(-3x^3-10x) is -1/10

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limit as x approaches 0+of x/(-3x^3-10x)

x \to 0 + lim (\frac{x}{- 3 x ^{3} - 10 x})

- \frac{1}{10}

Decimal

- 0.1

Solution steps

x \to 0 + lim (\frac{x}{- 3 x ^{3} - 10 x})

Simplify

\frac{x}{- 3 x ^{3} - 10 x} : - \frac{1}{3 x ^{2} + 10}

= x \to 0 + lim (- \frac{1}{3 x ^{2} + 10})

Plug in the value

x = 0

= - \frac{1}{3 \cdot 0 ^{2} + 10}

Simplify

= - \frac{1}{10}

What is the limit as x approaches 0+of x/(-3x^3-10x) ?
The limit as x approaches 0+of x/(-3x^3-10x) is -1/10