What is the limit as x approaches 0 of 5/(1-e^{1/x)} ?

The limit as x approaches 0 of 5/(1-e^{1/x)} is diverges

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limit as x approaches 0 of 5/(1-e^{1/x)}

x \to 0 lim (\frac{5}{1 - e ^{\frac{1}{x}}})

diverges

Solution steps

x \to 0 lim (\frac{5}{1 - 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{5}{1 - e ^{\frac{1}{x}}}) = 0

x \to 0 - lim (\frac{5}{1 - e ^{\frac{1}{x}}}) = 5

= diverges

16 y^{^{''}} + 11 y = 0

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

\int_{0}^{1} \frac{x}{1 + x ^{2}} d x

4 cos (x)

n = 1 \sum \infty (- 1)^{n} n^{- 2}

What is the limit as x approaches 0 of 5/(1-e^{1/x)} ?
The limit as x approaches 0 of 5/(1-e^{1/x)} is diverges