What is the limit as x approaches 0-of x/(15x^5-5x) ?

The limit as x approaches 0-of x/(15x^5-5x) is -1/5

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limit as x approaches 0-of x/(15x^5-5x)

x \to 0 - lim (\frac{x}{15 x ^{5} - 5 x})

- \frac{1}{5}

Decimal Notation

- 0.2

Solution steps

x \to 0 - lim (\frac{x}{15 x ^{5} - 5 x})

Simplify

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

= x \to 0 - lim (\frac{1}{5 ( 3 x ^{4} - 1 )})

Plug in the value

x = 0

= \frac{1}{5 ( 3 \cdot 0 ^{4} - 1 )}

Simplify

\frac{1}{5 ( 3 \cdot 0 ^{4} - 1 )} : - \frac{1}{5}

= - \frac{1}{5}

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What is the limit as x approaches 0-of x/(15x^5-5x) ?
The limit as x approaches 0-of x/(15x^5-5x) is -1/5