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

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

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limit as n approaches infinity of n*x

n \to \infty lim (n \cdot 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

x \to 0 - lim (\frac{- x}{x})

x \to 1 lim (2 x^{2} + x - 3)

x \to 0 + lim (\frac{( cos ( x ) )}{x})

x \to 0 lim (x^{2} + x - 7)

x \to 2 lim (\frac{2 + x - 2}{3 6 + x - 2})

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