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

The limit as x approaches 0 of e^{2/x} is diverges

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limit as x approaches 0 of e^{2/x}

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

diverges

Solution steps

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

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}}) = \infty

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

= diverges

x \to 2 lim (x^{3} + 2 x - 8)

x \to 0 lim (\frac{x - 3}{x ^{2} - 9})

x \to 0 lim (\frac{x ^{2}}{x + 5})

x \to - \frac{1}{2} lim (- \frac{7}{2 x + 1})

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

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