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Beliebt Rechnen >

limit as x approaches 16 of ((4-sqrt(x)))/((16x-x^2))

Lösung

x \to 16 lim (\frac{( 4 - x )}{( 16 x - x ^{2} )})

Lösung

\frac{1}{128}

+1

Dezimale

0.0078125

Schritte zur Lösung

x \to 16 lim (\frac{4 - x}{16 x - x ^{2}})

Rationalisiere den Zähler

\frac{4 - x}{16 x - x ^{2}} : \frac{1}{x ( x + 4 )}

= x \to 16 lim (\frac{1}{x ( x + 4 )})

Setze den Wert

x = 16

ein

= \frac{1}{16 ( 16 + 4 )}

Vereinfache

\frac{1}{16 ( 16 + 4 )} : \frac{1}{128}

= \frac{1}{128}

Graph

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