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

t^{3} \frac{d y}{d t} + 4 t^{2} y = e^{- t}, y (- 1) = 0

f (x) = \frac{2}{x - 1}

- \frac{5}{s ( 50 + 20 s )}

\frac{d}{d x} (ln (\frac{1 - x ^{2}}{1 + x ^{2}}))

\int \frac{x}{( x ^{2} + 1 ) ^{\frac{9}{2}}} d x

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