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Beliebt Rechnen >

limit as x approaches 0-of 1/(1+e 1/x)

Lösung

x \to 0 - lim (\frac{1}{1 + e \frac{1}{x}})

Lösung

0

Schritte zur Lösung

x \to 0 - lim (\frac{1}{1 + e \frac{1}{x}})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

mit Einschränkung des unbestimmten Ausdrucks

= \frac{lim _{x \to 0 -} ( 1 )}{lim _{x \to 0 -} ( 1 + e \frac{1}{x} )}

x \to 0 - lim (1) = 1

x \to 0 - lim (1 + e \frac{1}{x}) = - \infty

= \frac{1}{- \infty}

Wende die Unendlichkeitseigenschaft an:

\frac{c}{- \infty} = 0

= 0

Graph

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