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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

x \to 0 lim (\frac{f ( 2 x )}{x})

x \to 1 lim (\frac{x + 2}{1 - x ^{2}})

x \to - 1 lim (- x^{2} + 2 x + 3)

x \to 3 lim (\frac{e ^{1}}{x})

x \to - 8 lim (- f (x))

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