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

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

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

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

4

Solution steps

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

Simplify

\frac{- 3 x ^{3} + 4 x}{x} : - 3 x^{2} + 4

= x \to 0 - lim (- 3 x^{2} + 4)

Plug in the value

x = 0

= - 3 \cdot 0^{2} + 4

Simplify

= 4

y^{^{''}} + 2 y^{^{'}} - 8 y = 6 e^{- 2 x} - e^{- x}

\frac{d}{d x} (\frac{1 + sin ( x )}{1 - sin ( x )})

sin (x - 5)

n = 1 \sum \infty \frac{3}{n ln ( 9 n )}

f (x) = (x + (x + sin^{2} (x))^{3})^{4}

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