What is the limit as x approaches infinity of x^{6x} ?

The limit as x approaches infinity of x^{6x} is infinity

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limit as x approaches infinity of x^{6x}

x \to \infty lim (x^{6 x})

\infty

Solution steps

x \to \infty lim (x^{6 x})

Apply exponent rules

= x \to \infty lim (e^{6 x l n (x)})

Apply the Limit Chain Rule:

\infty

= \infty

5 x - 3

ln (x + 9)

\int (4 x^{3} - 9 x^{2} + 7 x + 3 e) e^{- x} d x

y^{'} = \frac{( x y + y ^{2} )}{x ^{2}}

x \to - 4 lim (\frac{x ^{2} - 1}{x + 4})

What is the limit as x approaches infinity of x^{6x} ?
The limit as x approaches infinity of x^{6x} is infinity