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

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

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

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

- 14

Solution steps

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

Simplify

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

= x \to 0 - lim (14 (x^{3} - 1))

Plug in the value

x = 0

= 14 (0^{3} - 1)

Simplify

= - 14

\frac{\partial}{\partial x} (x^{3} y + sin (x y))

\frac{d}{d x} (3 x^{2} - 4 x - 5)

\frac{( - s - 1 )}{s ^{2} + s + 1}

\frac{d}{d x} (\frac{10}{x})

y^{^{'}} - \frac{3}{2} y = - \frac{3}{2} t

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