What is the limit as x approaches 0 of 1/(1+2^{1/x)} ?

The limit as x approaches 0 of 1/(1+2^{1/x)} is diverges

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limit as x approaches 0 of 1/(1+2^{1/x)}

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

diverges

Solution steps

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

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

= diverges

\int_{0}^{2} 6 x d x

\int sec (8 x) tan (8 x) d x

(\frac{- x ^{2} - 4 x}{( x ^{2} - x - 2 ) ^{2}})^{^{'}}

x \to 3 lim (x - 2)

\frac{d}{d x} (C e^{4 x})

What is the limit as x approaches 0 of 1/(1+2^{1/x)} ?
The limit as x approaches 0 of 1/(1+2^{1/x)} is diverges