What is the limit as x approaches 0 of x^{sin(2x)} ?

The limit as x approaches 0 of x^{sin(2x)} is Does not exist

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limit as x approaches 0 of x^{sin(2x)}

x \to 0 lim (x^{s i n (2 x)})

Does not exist

Solution steps

x \to 0 lim (x^{s i n (2 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 (2 x)}) = 1

x \to 0 - lim (x^{s i n (2 x)}) =

Does not exist

= Does not exist

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x - y d x + x d y = 0

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\int_{1}^{4} \frac{5}{x} d x

\int_{1}^{e} 5 t^{2} ln (t) d t

What is the limit as x approaches 0 of x^{sin(2x)} ?
The limit as x approaches 0 of x^{sin(2x)} is Does not exist