What is the limit as x approaches 0 of x/(-2x^4-14x) ?

The limit as x approaches 0 of x/(-2x^4-14x) is -1/14

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limit as x approaches 0 of x/(-2x^4-14x)

x \to 0 lim (\frac{x}{- 2 x ^{4} - 14 x})

- \frac{1}{14}

Decimal

- 0.07142 \dots

Solution steps

x \to 0 lim (\frac{x}{- 2 x ^{4} - 14 x})

Simplify

\frac{x}{- 2 x ^{4} - 14 x} : - \frac{1}{2 ( x ^{3} + 7 )}

= x \to 0 lim (- \frac{1}{2 ( x ^{3} + 7 )})

Plug in the value

x = 0

= - \frac{1}{2 ( 0 ^{3} + 7 )}

Simplify

= - \frac{1}{14}

What is the limit as x approaches 0 of x/(-2x^4-14x) ?
The limit as x approaches 0 of x/(-2x^4-14x) is -1/14