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

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

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

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

diverges

Solution steps

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

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

= diverges

\int \frac{1}{x ^{2} + 16 x} d x

\frac{d}{d x} (\frac{e ^{xx} - e ^{x}}{x ^{2}})

x \to 5 lim (\frac{6}{x})

\int \frac{1}{1 + tan ( x )} d x

y^{^{''}} + 6 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 1

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