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

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