What is the limit as x approaches 0 of (1+5/x)^x ?

The limit as x approaches 0 of (1+5/x)^x is Does not exist

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limit as x approaches 0 of (1+5/x)^x

x \to 0 lim ((1 + \frac{5}{x})^{x})

Does not exist

Solution steps

x \to 0 lim ((1 + \frac{5}{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 ((1 + \frac{5}{x})^{x}) = 1

x \to 0 - lim ((1 + \frac{5}{x})^{x}) =

Does not exist

= Does not exist

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

x \to 6 lim (x - 2)

x \to 3 lim (\frac{x ^{2} - 4}{x + 3})

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

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

What is the limit as x approaches 0 of (1+5/x)^x ?
The limit as x approaches 0 of (1+5/x)^x is Does not exist