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

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

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

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

- 14

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

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

Simplify

= - 14

\int t sin (2 t) d t

x \to 0 + lim (x^{2} sin (\frac{1}{x}))

\frac{\partial}{\partial y} (4 y^{3} - 100 y)

y^{^{'}} = (1 + x) (1 + y^{2})

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