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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

f (x) = \frac{2}{4 - x}, at x = 1

\int_{0}^{1} cos (\frac{π t}{2}) d t

x \to \infty lim (e^{- s (x)})

\int 2 x + 1 - x e^{x^{2}} d x

\frac{d}{d x} ((x - 2)^{- 1})

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