What is the limit as x approaches+0 of x^{sin(x)} ?

The limit as x approaches+0 of x^{sin(x)} is Does not exist

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limit as x approaches+0 of x^{sin(x)}

x \to + 0 lim (x^{s i n (x)})

Does not exist

Solution steps

x \to 0 lim (x^{s i n (x)})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (x^{s i n (x)}) = 1

x \to 0 - lim (x^{s i n (x)}) =

Does not exist

= Does not exist

x \to \infty lim (16 x^{2} + 8 x + 6 - 16 x^{2} + 8 x + 6)

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

x \to 0 lim ((1 - x) \frac{1}{x})

x \to 4 lim (\frac{1}{x})

x \to 0 lim (3 - 8 x + 3 x^{2})

What is the limit as x approaches+0 of x^{sin(x)} ?
The limit as x approaches+0 of x^{sin(x)} is Does not exist