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Limit of the function/ (1/2)^x

Limit of the function (1/2)^x

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      -x
 lim 2  
x->oo

\lim_{x \to \infty} \left(\frac{1}{2}\right)^{x}

Limit((1/2)^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

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} \left(\frac{1}{2}\right)^{x} = 0

\lim_{x \to 0^-} \left(\frac{1}{2}\right)^{x} = 1

\lim_{x \to 0^+} \left(\frac{1}{2}\right)^{x} = 1

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

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

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

Rapid solution [src]

0

Expand and simplify

The graph