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

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

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

f (x) = (x^{3} + 7) e^{x}

\int \frac{2 x}{x ^{2} + 14 x + 49} d x

n = 1 \sum \infty 5 \cdot \frac{2}{n}

x \to 6 lim (\frac{x ^{2} - 9 x + 18}{x - 6})

y = 6 x, y = \frac{3}{2} x, y = 7 - x^{2}

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