limit as x approaches 0-of x| 1/x |

Lösung

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

- 1

Schritte zur Lösung

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

\frac{1}{x}

ist negativ wenn

x \to 0 -

. Deshalb

\frac{1}{x} = - \frac{1}{x}

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

x (- \frac{1}{x}) = - 1

= x \to 0 - lim (- 1)

x \to a lim c = c

= - 1

x \to - 1 lim (\frac{2}{π ^{x} - \frac{1}{π}})

x \to 2 lim (30 x)

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

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

x \to 1 lim ((x + 2) (x - 2))