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Beliebt Rechnen >

limit as x approaches 1 of ((5-5x))/(1-sqrt(x))

Lösung

x \to 1 lim (\frac{( 5 - 5 x )}{1 - x})

Lösung

10

Schritte zur Lösung

x \to 1 lim (\frac{5 - 5 x}{1 - x})

Rationalisiere den Nenner

\frac{5 - 5 x}{1 - x} : 5 (x + 1)

= x \to 1 lim (5 (x + 1))

Setze den Wert

x = 1

ein

= 5 (1 + 1)

Vereinfache

= 10

Graph

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