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

The limit as x approaches infinity of x^{sin(x)} is diverges

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limit as x approaches infinity of x^{sin(x)}

x \to \infty lim (x^{s i n (x)})

diverges

Solution steps

x \to \infty lim (x^{s i n (x)})

Apply Limit Divergence Criterion:

diverges

= diverges

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\int e^{2 x} sin (2 x) d x

What is the limit as x approaches infinity of x^{sin(x)} ?
The limit as x approaches infinity of x^{sin(x)} is diverges