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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to \frac{π}{2} lim (- 5 sin (x))

x \to 2 lim (4 x^{3} - 3 x - 5)

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

x \to 0 lim (cos (x) sec (x))

x \to 4 + lim (3 x^{2} - 9)

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