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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

x \to 1 lim (x^{\frac{2}{x - 1}})

x \to 0 - lim (e^{- \frac{1}{x ^{2}}})

x \to - 4 lim (\frac{1}{( x + 4 ) ^{2}})

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

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

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