Limit of the function e^(sqrt(x))

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      \/ x 
 lim E     
x->oo

\lim_{x \to \infty} e^{\sqrt{x}}

Limit(E^(sqrt(x)), x, oo, dir='-')

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

The graph

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Rapid solution [src]

oo

\infty

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} e^{\sqrt{x}} = \infty

\lim_{x \to 0^-} e^{\sqrt{x}} = 1

\lim_{x \to 0^+} e^{\sqrt{x}} = 1

\lim_{x \to 1^-} e^{\sqrt{x}} = e

\lim_{x \to 1^+} e^{\sqrt{x}} = e

\lim_{x \to -\infty} e^{\sqrt{x}}

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