What is the limit as x approaches 0 of 2/(3-e^{1/x)} ?

The limit as x approaches 0 of 2/(3-e^{1/x)} is diverges

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limit as x approaches 0 of 2/(3-e^{1/x)}

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

diverges

Solution steps

x \to 0 lim (\frac{2}{3 - e ^{\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}{3 - e ^{\frac{1}{x}}}) = 0

x \to 0 - lim (\frac{2}{3 - e ^{\frac{1}{x}}}) = \frac{2}{3}

= diverges

\int \frac{1}{x ( 1 - x )} d x

\int (x^{2} - x) e^{x} d x

y^{^{'}} = y (1 - y), y (0) = 12

\int \frac{1}{x ^{2} 3 x - 1} d x

\int 2 x (x^{2} + 3)^{4} d x

What is the limit as x approaches 0 of 2/(3-e^{1/x)} ?
The limit as x approaches 0 of 2/(3-e^{1/x)} is diverges