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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

x \to 1 lim (x^{2} + 3 x - 5)

x \to - \infty lim (x + 3 x^{\frac{2}{3}})

x \to 7 lim (\frac{x ^{2} + 3}{x})

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

x \to - 3 + lim (\frac{2 - x}{x + 3})

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