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

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

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limit as x approaches 0 of (x+sin(x))^x

x \to 0 lim ((x + sin (x))^{x})

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

x \to 0 lim (2 e^{x})

x \to - \infty lim (- 5 x)

x \to \infty lim ((2 x^{- 5} + 1)^{6 x^{5}})

x \to 0 lim (x + 1)

x \to 0 lim (\frac{m x}{m ^{4} x ^{2}})

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