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)}) = 5

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

Does not exist

= Does not exist

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

x \to 0 lim (\frac{x - arctan ( x )}{x ^{2} tan ( x )})

x \to a lim (f (x) + h (x))

x \to 5 lim (2 x - 1)

x \to \infty lim (56)

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