What is the limit as x approaches infinity of x^{4x} ?

The limit as x approaches infinity of x^{4x} is infinity

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limit as x approaches infinity of x^{4x}

x \to \infty lim (x^{4 x})

\infty

Solution steps

x \to \infty lim (x^{4 x})

Apply exponent rules

= x \to \infty lim (e^{4 x l n (x)})

Apply the Limit Chain Rule:

\infty

= \infty

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

x^{3} - 7 x^{2} + 15 x + 3

x \to \infty lim (87)

\frac{8}{s ^{2} ( s - 2 ) ^{3}}

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

What is the limit as x approaches infinity of x^{4x} ?
The limit as x approaches infinity of x^{4x} is infinity