What is the limit as x approaches 0 of e^{5/x} ?

The limit as x approaches 0 of e^{5/x} is diverges

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limit as x approaches 0 of e^{5/x}

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

diverges

Solution steps

x \to 0 lim (e^{\frac{5}{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{5}{x}}) = \infty

x \to 0 - lim (e^{\frac{5}{x}}) = 0

= diverges

\frac{\partial}{\partial x} (x^{2} + y^{2} + 3)

\int arccos (8 x) d x

\frac{d}{d x} (12 x^{3} - 6 x^{2})

\frac{y}{x ^{5}}

\int 5 4 x d x

What is the limit as x approaches 0 of e^{5/x} ?
The limit as x approaches 0 of e^{5/x} is diverges