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

t a y l or cos (x) + sin (x)

\frac{\partial}{\partial x} (- 2 y cos (x))

d er i v a t i v e tan (9 x)

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

\frac{d}{d x} y + y x^{7} = 0

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