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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

y^{^{''}} - 10 y^{^{'}} + 41 y = 0

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