What is the limit as x approaches-infinity of 6x^4 ?

The limit as x approaches-infinity of 6x^4 is infinity

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limit as x approaches-infinity of 6x^4

x \to - \infty lim (6 x^{4})

\infty

Solution steps

x \to - \infty lim (6 x^{4})

Apply Infinity Property:

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

n is even

a = 6, n = 4

= \infty

x \to \infty lim (- \frac{5}{4})

(1 - x)^{\frac{1}{4}}

n = 1 \sum \infty (\frac{1}{8})^{n - 1}

\frac{d}{d x} (\frac{c e ^{x}}{1 + c e ^{x}})

What is the limit as x approaches-infinity of 6x^4 ?
The limit as x approaches-infinity of 6x^4 is infinity