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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

x \frac{d y}{d x} - 4 y = 6 x^{4} e^{x}

\int_{0}^{5} (22 + t) d t

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

\frac{ln ( 4 x )}{x}

\frac{\partial}{\partial t} (\frac{( 2 r + s )}{t})

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