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

Lösung

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

0

Schritte zur Lösung

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

x \to 0 - lim (x) = 0

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

= \frac{0}{1}

Wende Regel an

\frac{0}{a} = 0, a \neq = 0

= 0

x \to \infty lim (- x^{- 3})

x \to 1 + lim (csc (π x))

x \to - 2 lim (2)

x \to 4 lim (\frac{2 x + 7}{x + 1})

x \to - 2 lim (x^{3} + 1)