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

x \to 0 lim (- \frac{ln ( 1 + 6 x )}{x})

f (t) = \frac{t sin ( t )}{1 + t}

\int \frac{2 - x}{x} d x

\int x^{2} d x

n = 1 \sum \infty \frac{n !}{2 n ! + 1}

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