What is the limit as n approaches infinity of nx ?

The limit as n approaches infinity of nx is infinity

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limit as n approaches infinity of nx

n \to \infty lim (n x)

\infty

Solution steps

n \to \infty lim (n x)

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

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

Apply the common limit:

n \to \infty lim (n) = \infty

= x \cdot \infty

Simplify

x \cdot \infty : \infty

= \infty

What is the limit as n approaches infinity of nx ?
The limit as n approaches infinity of nx is infinity