What is the limit as n approaches infinity of na^n ?

The limit as n approaches infinity of na^n is Undefined

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limit as n approaches infinity of na^n

n \to \infty lim (n a^{n})

Undefined

Solution steps

n \to \infty lim (n a^{n})

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

With the exception of indeterminate form

= n \to \infty lim (n) \cdot n \to \infty lim (a^{n})

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

n \to \infty lim (a^{n}) =

Undefined

= \infty \cdot Undefined

= Undefined

x \to - 4 lim (x^{2} - 3 x + 12)

x \to 4 lim (6 x + 5)

x \to \infty lim (27)

x \to \infty lim (22)

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

What is the limit as n approaches infinity of na^n ?
The limit as n approaches infinity of na^n is Undefined