What is the limit as x approaches infinity of-3x^3+x ?

The limit as x approaches infinity of-3x^3+x is -infinity

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limit as x approaches infinity of-3x^3+x

x \to \infty lim (- 3 x^{3} + x)

- \infty

Solution steps

x \to \infty lim (- 3 x^{3} + x)

Apply Infinity Property:

x \to \infty lim (a x^{n} + \dots + b x + c) = - \infty, a < 0,

n is odd

a = - 3, n = 3

= - \infty

y = 0, y = 3 (x^{3} - x)

x \to 0 lim (cos (x))

- 6 x^{- 2}

\int_{- \infty}^{0} x e^{- 2 x} d x

\frac{d}{d x} (\frac{2 e ^{x} - 4 x - 6}{5 sin ( x ) - 3})

What is the limit as x approaches infinity of-3x^3+x ?
The limit as x approaches infinity of-3x^3+x is -infinity