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Beliebt Rechnen >

limit as x approaches 7 of (1/x-1/7)/(x-7)

Lösung

x \to 7 lim (\frac{\frac{1}{x} - \frac{1}{7}}{x - 7})

Lösung

- \frac{1}{49}

+1

Dezimale

- 0.02040 \dots

Schritte zur Lösung

x \to 7 lim (\frac{\frac{1}{x} - \frac{1}{7}}{x - 7})

Vereinfache

\frac{\frac{1}{x} - \frac{1}{7}}{x - 7} : - \frac{1}{7 x}

= x \to 7 lim (- \frac{1}{7 x})

Setze den Wert

x = 7

ein

= - \frac{1}{7 \cdot 7}

Vereinfache

= - \frac{1}{49}

Graph

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