What is the limit as x approaches 0 of e^{4/x} ?

The limit as x approaches 0 of e^{4/x} is diverges

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limit as x approaches 0 of e^{4/x}

x \to 0 lim (e^{\frac{4}{x}})

diverges

Solution steps

x \to 0 lim (e^{\frac{4}{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{4}{x}}) = \infty

x \to 0 - lim (e^{\frac{4}{x}}) = 0

= diverges

x \to 4 + lim (x^{2} - 12)

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

x \to 1 + lim ((ln (x))^{x})

x \to - 2 lim (\frac{5 x}{2 x + 4})

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

What is the limit as x approaches 0 of e^{4/x} ?
The limit as x approaches 0 of e^{4/x} is diverges