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})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{3} \cdot x \to - \infty lim (x)

Apply the common limit:

x \to - \infty lim (x) = - \infty

= \frac{1}{3} (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

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