What is the limit as x approaches infinity of x/n ?

The limit as x approaches infinity of x/n is infinity

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limit as x approaches infinity of x/n

x \to \infty lim (\frac{x}{n})

\infty

Solution steps

x \to \infty lim (\frac{x}{n})

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

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

Apply the common limit:

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

= \frac{1}{n} \cdot \infty

Simplify

\frac{1}{n} \cdot \infty : \infty

= \infty

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