What is the limit as x approaches 0 of x/(e^{-7/x)} ?

The limit as x approaches 0 of x/(e^{-7/x)} is diverges

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limit as x approaches 0 of x/(e^{-7/x)}

x \to 0 lim (\frac{x}{e ^{- \frac{7}{x}}})

diverges

Solution steps

x \to 0 lim (\frac{x}{e ^{- \frac{7}{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{7}{x}}}) = \infty

x \to 0 - lim (\frac{x}{e ^{- \frac{7}{x}}}) = 0

= diverges

x \to 0 lim (\frac{1 3 ^{x} - 4 ^{x}}{x})

x \to 0 lim (3 - 7 x + 6 x^{2})

x \to 1 lim (\frac{x}{x + 1} (x - 3))

x \to - 1 lim (2 x - 15)

x \to \infty lim (3 3 x - 3)

What is the limit as x approaches 0 of x/(e^{-7/x)} ?
The limit as x approaches 0 of x/(e^{-7/x)} is diverges