What is the limit as x approaches 0 of (csc(x))^x ?

The limit as x approaches 0 of (csc(x))^x is Does not exist

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limit as x approaches 0 of (csc(x))^x

x \to 0 lim ((csc (x))^{x})

Does not exist

Solution steps

x \to 0 lim ((csc (x))^{x})

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

then the limit does not exist

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

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

Does not exist

= Does not exist

x \to \frac{π}{2} lim (\frac{cos ( x )}{cot ( x )})

x \to 0 lim (x^{3} + 3 x^{2} - x + 1)

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

x \to \frac{x}{2} lim (3 sec (x) - 3 tan (x))

x \to 3 lim (\frac{x ^{2} + 40 - 7}{x - 3})

What is the limit as x approaches 0 of (csc(x))^x ?
The limit as x approaches 0 of (csc(x))^x is Does not exist