What is the limit as x approaches infinity of x^{2x} ?

The limit as x approaches infinity of x^{2x} is infinity

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limit as x approaches infinity of x^{2x}

x \to \infty lim (x^{2 x})

\infty

Solution steps

x \to \infty lim (x^{2 x})

Apply exponent rules

= x \to \infty lim (e^{2 x l n (x)})

Apply the Limit Chain Rule:

\infty

= \infty

\frac{d}{d x} (cos (2 x) + sin (2 π))

\int_{1}^{t} \frac{25}{x ^{3}} d x

\frac{d}{d x} (cos (x + a))

\frac{7}{s ^{5}}

\int \frac{x ^{2}}{( a ^{2} - x ^{2} ) ^{\frac{3}{2}}} d x

What is the limit as x approaches infinity of x^{2x} ?
The limit as x approaches infinity of x^{2x} is infinity