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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

\frac{d}{d x} (\frac{2 - x}{x})

ln (5 x)

\int_{- π}^{π} cos (n x) d x

y^{^{'}} = cos (x)

\frac{e ^{- 2 s}}{s + 3}

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