What is the limit as x approaches infinity of 5x^4 ?

The limit as x approaches infinity of 5x^4 is infinity

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limit as x approaches infinity of 5x^4

x \to \infty lim (5 x^{4})

\infty

Solution steps

x \to \infty lim (5 x^{4})

Apply Infinity Property:

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

n is even

a = 5, n = 4

= \infty

\frac{\frac{1}{s + 1} + \frac{3}{2}}{s + 2}

y^{^{''}} + 4 y^{^{'}} + 5 y = 35 e - 4 x, y (0) = - 6, y^{^{'}} (0) = 1

(x^{2} + 3) \cdot \frac{d y}{d x} = x y

n = 1 \sum \infty \frac{5}{n ^{5}}

\frac{d}{d x} (\frac{1}{x ^{4}} + \frac{1}{x ^{8}})

What is the limit as x approaches infinity of 5x^4 ?
The limit as x approaches infinity of 5x^4 is infinity