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

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

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limit as x approaches-infinity of 9x

x \to - \infty lim (9 x)

- \infty

Solution steps

x \to - \infty lim (9 x)

Apply Infinity Property:

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

n is odd

a = 9, n = 1

= - \infty

x \to 1 + lim (x^{2} - 10 x + 8)

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

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

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

x \to - 3 lim (2 x - 1)

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