What is the limit as x approaches 0 of x^{sin(3x)} ?

The limit as x approaches 0 of x^{sin(3x)} is Does not exist

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limit as x approaches 0 of x^{sin(3x)}

x \to 0 lim (x^{s i n (3 x)})

Does not exist

Solution steps

x \to 0 lim (x^{s i n (3 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 (3 x)}) = 1

x \to 0 - lim (x^{s i n (3 x)}) =

Does not exist

= Does not exist

Y = (3 - X^{2}) (X^{3} - X + 1), (2, 1)

x \to + π lim (\frac{x}{4} - \frac{π}{2})

\frac{d y}{d x} = 2 x y^{2} + 32 x

\frac{d}{d x} (\frac{3}{2} x^{\frac{2}{3}})

\frac{d y}{d x} = \frac{2 x + 1}{2 y - 2}

What is the limit as x approaches 0 of x^{sin(3x)} ?
The limit as x approaches 0 of x^{sin(3x)} is Does not exist