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Beliebt Rechnen >

limit as t approaches 3 of (1/t-1/3)/(t-3)

Lösung

t \to 3 lim (\frac{\frac{1}{t} - \frac{1}{3}}{t - 3})

Lösung

- \frac{1}{9}

+1

Dezimale

- 0.11111 \dots

Schritte zur Lösung

t \to 3 lim (\frac{\frac{1}{t} - \frac{1}{3}}{t - 3})

Vereinfache

\frac{\frac{1}{t} - \frac{1}{3}}{t - 3} : - \frac{1}{3 t}

= t \to 3 lim (- \frac{1}{3 t})

Setze den Wert

t = 3

ein

= - \frac{1}{3 \cdot 3}

Vereinfache

= - \frac{1}{9}

Graph

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