limit as x approaches 0+of 1/(1+e^{1/x)}

Lösung

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

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

\frac{d}{d z} (y z e^{x z})

f (x) = 1 + 2 x

in v erse l a pl a ce \frac{1}{s ^{2} + 2 s + 4}

\int_{- 2}^{- 1} (\frac{2}{x ^{2}}) d x

f (x) = (2 x^{3} + 5)^{10}