What is the limit as x approaches infinity of-x/3 ?

The limit as x approaches infinity of-x/3 is -infinity

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limit as x approaches infinity of-x/3

x \to \infty lim (- \frac{x}{3})

- \infty

Solution steps

x \to \infty lim (- \frac{x}{3})

Apply Infinity Property:

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

n is odd

a = - \frac{1}{3}, n = 1

= - \infty

x \to 4 + lim (\frac{8 - 2 x}{- 4 + x})

x \to - \infty lim (\frac{36 x ^{2} - 7 x}{4 - 3 x})

x \to 0 lim (x^{2^{- x}})

x \to 243 lim (5 x)

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

What is the limit as x approaches infinity of-x/3 ?
The limit as x approaches infinity of-x/3 is -infinity