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

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

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limit as n approaches infinity of n^n

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

\infty

Solution steps

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

Apply exponent rules

= n \to \infty lim (e^{n l n (n)})

Apply the Limit Chain Rule:

\infty

= \infty

\frac{d}{d x} (8 x + 2)

\int 2^{2 x} d x

\frac{d}{d x} (- \frac{24}{x ^{4}})

y = x (x^{2} - 10 x + 30), y = x^{2}

\int x e^{- 125 x} d x

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