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 - 3 lim (x^{4} + 2 x^{2} + 3 x - 3)

x \to 8 lim (4)

x \to \infty lim (\frac{( sin ( x ) - cos ( x ) )}{x})

t \to 0 + lim (cos (t))

h \to 0 lim (\frac{( x + h ) ^{3} - 3}{h})

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