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

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

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

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

diverges

Solution steps

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

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

= diverges

x (\frac{d y}{d x}) = 2 x + 2 y

\int \frac{1}{1 + 29 x} d x

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

- \frac{20 , 0}{1 + 0.2 t} + 21, 0

\int x^{8} ln (x) d x

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