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

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

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limit as x approaches-infinity of x^4+4x

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

\infty

Solution steps

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

Apply Infinity Property:

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

n is even

a = 1, n = 4

= \infty

x \to - 5 - lim (- \frac{3 x}{x + 5})

x \to 1 lim (\frac{5 x - 1}{x + 1})

x \to 0 - lim (∣ x ∣^{x})

x \to - 2 lim (2 x^{2} + 1)

x \to 0 + lim (sin^{\frac{1}{x}} (x))

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