What is the limit as x approaches infinity of (x)^x ?

The limit as x approaches infinity of (x)^x is infinity

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limit as x approaches infinity of (x)^x

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

\infty

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

\infty

= \infty

\int \frac{u}{1 - u} d u

\int x^{- 3} ln (5 x) d x

n = 6 \sum \infty e^{5 - 2 n}

\int 2 + \frac{1}{1 - x} d x

\frac{\partial}{\partial z} (z)

What is the limit as x approaches infinity of (x)^x ?
The limit as x approaches infinity of (x)^x is infinity