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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

x \to 0 lim (\frac{sin ( - 2 x )}{x})

x \to 0 + lim ((1 + \frac{3}{x})^{2 x})

x \to 2 lim (\frac{x ^{2} - 5}{x - 2})

x \to 0 + lim (x^{π x})

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

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