What is the limit as x approaches 0 of (1+2/(x^3))^x ?

The limit as x approaches 0 of (1+2/(x^3))^x is Does not exist

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limit as x approaches 0 of (1+2/(x^3))^x

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

Does not exist

Solution steps

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

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

then the limit does not exist

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

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

Does not exist

= Does not exist

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

r \to 0 lim (\frac{sin ( r )}{r})

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

t \to - \infty lim (t^{3} e^{t})

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

What is the limit as x approaches 0 of (1+2/(x^3))^x ?
The limit as x approaches 0 of (1+2/(x^3))^x is Does not exist