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

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

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

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

- \infty

Solution steps

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

Apply Infinity Property:

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

n is odd

a = 1, n = 3

= - \infty

(1.2) (4.4)

\int \frac{x ^{3}}{x ^{2} - 81} d x

y (θ) = \frac{sin ( θ )}{5} + \frac{c}{θ}

\int (\frac{x - 1}{x})^{2} d x

\frac{d}{d x} (3 (cos (x))^{2})

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