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

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

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

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 8 - lim (2^{x})

x \to \infty lim (\frac{1}{x} - x)

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

x \to - 1 lim (\frac{1}{ln ( x )})

x \to 2 lim (\frac{\frac{8}{x} - 4}{x - 2})

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