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Limit of the function 2e^(2x)

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     /   2*x\
 lim \2*E   /
x->oo

\lim_{x \to \infty}\left(2 e^{2 x}\right)

Limit(2*E^(2*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

Plot the graph

Rapid solution [src]

oo

\infty

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty}\left(2 e^{2 x}\right) = \infty

\lim_{x \to 0^-}\left(2 e^{2 x}\right) = 2

\lim_{x \to 0^+}\left(2 e^{2 x}\right) = 2

\lim_{x \to 1^-}\left(2 e^{2 x}\right) = 2 e^{2}

\lim_{x \to 1^+}\left(2 e^{2 x}\right) = 2 e^{2}

\lim_{x \to -\infty}\left(2 e^{2 x}\right) = 0

The graph

Limit of the function 2*e^(2*x)