What is the limit as x approaches 0 of x/(e^{-8/x)} ?

The limit as x approaches 0 of x/(e^{-8/x)} is diverges

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limit as x approaches 0 of x/(e^{-8/x)}

x \to 0 lim (\frac{x}{e ^{- \frac{8}{x}}})

diverges

Solution steps

x \to 0 lim (\frac{x}{e ^{- \frac{8}{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{x}{e ^{- \frac{8}{x}}}) = \infty

x \to 0 - lim (\frac{x}{e ^{- \frac{8}{x}}}) = 0

= diverges

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

x \to 2 lim (- 5 x)

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

x \to 0 lim (3 arctan (x))

x \to 2 lim (x^{2} - 2 x + 3)

What is the limit as x approaches 0 of x/(e^{-8/x)} ?
The limit as x approaches 0 of x/(e^{-8/x)} is diverges