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Beliebt Rechnen >

limit as x approaches 0 of x/(arctan(6x))

Lösung

x \to 0 lim (\frac{x}{arctan ( 6 x )})

Lösung

\frac{1}{6}

+1

Dezimale

0.16666 \dots

Schritte zur Lösung

x \to 0 lim (\frac{x}{arctan ( 6 x )})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{1}{\frac{6}{36 x ^{2} + 1}})

Setze den Wert

x = 0

ein

= \frac{1}{\frac{6}{36 \cdot 0 ^{2} + 1}}

Vereinfache

= \frac{1}{6}

Graph

Beliebte Beispiele

limit as x approaches 0+of x^2+3x-4

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