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Limit of the function exp(-x/2)

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      -x 
      ---
       2 
 lim e   
x->oo

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

Limit(exp((-x)/2), 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]

0

Expand and simplify

Other limits x→0, -oo, +oo, 1

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

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

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

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

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

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

The graph