What is the limit as x approaches 0 of (1+1/x)^{5x} ?

The limit as x approaches 0 of (1+1/x)^{5x} is Does not exist

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limit as x approaches 0 of (1+1/x)^{5x}

x \to 0 lim ((1 + \frac{1}{x})^{5 x})

Does not exist

Solution steps

x \to 0 lim ((1 + \frac{1}{x})^{5 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})^{5 x}) = 1

x \to 0 - lim ((1 + \frac{1}{x})^{5 x}) =

Does not exist

= Does not exist

\int_{6}^{8} \frac{14}{( x - 6 ) ^{3}} d x

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

\int \frac{2 x + 1}{3 x ^{2} + 3 x + 4} d x

3 x + 3, 4 x + 4, - 1, 3

\frac{\partial}{\partial x} (ln (2 x y + 4))

What is the limit as x approaches 0 of (1+1/x)^{5x} ?
The limit as x approaches 0 of (1+1/x)^{5x} is Does not exist