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Beliebt Rechnen >

limit as x approaches 10 of (sqrt(x-1)-3)/(x-10)

Lösung

x \to 10 lim (\frac{x - 1 - 3}{x - 10})

Lösung

\frac{1}{6}

+1

Dezimale

0.16666 \dots

Schritte zur Lösung

x \to 10 lim (\frac{x - 1 - 3}{x - 10})

Rationalisiere den Zähler

\frac{x - 1 - 3}{x - 10} : \frac{1}{x - 1 + 3}

= x \to 10 lim (\frac{1}{x - 1 + 3})

Setze den Wert

x = 10

ein

= \frac{1}{10 - 1 + 3}

Vereinfache

\frac{1}{10 - 1 + 3} : \frac{1}{6}

= \frac{1}{6}

Graph

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