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Limit of the function/ 5^x

Limit of the function 5^x

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      x
 lim 5 
x->oo

\lim_{x \to \infty} 5^{x}

Limit(5^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} 5^{x} = \infty

\lim_{x \to 0^-} 5^{x} = 1

\lim_{x \to 0^+} 5^{x} = 1

\lim_{x \to 1^-} 5^{x} = 5

\lim_{x \to 1^+} 5^{x} = 5

\lim_{x \to -\infty} 5^{x} = 0

The graph