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Beliebt Rechnen >

limit as x approaches 81 of ((sqrt(x)-9))/(x-81)

Lösung

x \to 81 lim (\frac{( x - 9 )}{x - 81})

Lösung

\frac{1}{18}

+1

Dezimale

0.05555 \dots

Schritte zur Lösung

x \to 81 lim (\frac{x - 9}{x - 81})

Rationalisiere den Zähler

\frac{x - 9}{x - 81} : \frac{1}{x + 9}

= x \to 81 lim (\frac{1}{x + 9})

Setze den Wert

x = 81

ein

= \frac{1}{81 + 9}

Vereinfache

\frac{1}{81 + 9} : \frac{1}{18}

= \frac{1}{18}

Graph

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