What is the limit as x approaches 0-of x/(3x^4-15x) ?

The limit as x approaches 0-of x/(3x^4-15x) is -1/15

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limit as x approaches 0-of x/(3x^4-15x)

x \to 0 - lim (\frac{x}{3 x ^{4} - 15 x})

- \frac{1}{15}

Decimal

- 0.06666 \dots

Solution steps

x \to 0 - lim (\frac{x}{3 x ^{4} - 15 x})

Simplify

\frac{x}{3 x ^{4} - 15 x} : \frac{1}{3 ( x ^{3} - 5 )}

= x \to 0 - lim (\frac{1}{3 ( x ^{3} - 5 )})

Plug in the value

x = 0

= \frac{1}{3 ( 0 ^{3} - 5 )}

Simplify

\frac{1}{3 ( 0 ^{3} - 5 )} : - \frac{1}{15}

= - \frac{1}{15}

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What is the limit as x approaches 0-of x/(3x^4-15x) ?
The limit as x approaches 0-of x/(3x^4-15x) is -1/15