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}) =

Does not exist

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

= Does not exist

\int \frac{1}{r ^{2}} d r

\frac{\partial}{\partial x} ((sin (x))^{2})

\int_{- 1}^{1} (x - x^{3}) d x

\frac{\partial}{\partial x} (t e^{\frac{- x ^{2}}{2 t}})

x \to 0 lim (e^{8 π})

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