What is the limit as x approaches 0 of (sin(x))^{5x} ?

The limit as x approaches 0 of (sin(x))^{5x} is Does not exist

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limit as x approaches 0 of (sin(x))^{5x}

x \to 0 lim ((sin (x))^{5 x})

Does not exist

Solution steps

x \to 0 lim ((sin (x))^{5 x})

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

then the limit does not exist

x \to 0 + lim ((sin (x))^{5 x}) = 1

x \to 0 - lim ((sin (x))^{5 x}) =

Does not exist

= Does not exist

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

\int sec^{2} (4 x) (3 - tan (4 x))^{3} d x

\int_{- \infty}^{4} x e^{\frac{x}{2}} d x

y^{^{'}} = - y - 2 x

\int x (1 - 3 x^{2})^{4} d x

What is the limit as x approaches 0 of (sin(x))^{5x} ?
The limit as x approaches 0 of (sin(x))^{5x} is Does not exist