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

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

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

x \to 0 lim ((5 x)^{s i n (x)})

Does not exist

Solution steps

x \to 0 lim ((5 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 ((5 x)^{s i n (x)}) = 1

x \to 0 - lim ((5 x)^{s i n (x)}) =

Does not exist

= Does not exist

x \to 0 lim (cos^{\frac{1}{c o s ( x ) - c o s ( 7 x )}} (4 x))

x \to 0 lim (\frac{2021}{x})

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

x \to 0 lim (\frac{( 1 + x )}{x})

x \to 0 lim (\frac{∣ x ∣}{x})

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