What is the limit as x approaches infinity of x^9 ?

The limit as x approaches infinity of x^9 is infinity

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limit as x approaches infinity of x^9

x \to \infty lim (x^{9})

\infty

Solution steps

x \to \infty lim (x^{9})

Apply Infinity Property:

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

n is odd

a = 1, n = 9

= \infty

\frac{2 x}{( 1 + x ^{2} ) ^{2}}

f (x) = \frac{x}{1 - ln ( x - 7 )}

cos (x), \frac{3 x}{2 π}, [0, 1]

y^{^{'}} = \frac{( ln ^{2} ( x ) )}{3 x}

y = x^{2} - 3 x

What is the limit as x approaches infinity of x^9 ?
The limit as x approaches infinity of x^9 is infinity