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Beliebt Rechnen >

limit as x approaches 0 of 1/x sin(x)

Lösung

x \to 0 lim (\frac{1}{x} sin (x))

Lösung

1

Schritte zur Lösung

x \to 0 lim (\frac{1}{x} sin (x))

Vereinfache

\frac{1}{x} sin (x) : \frac{sin ( x )}{x}

= x \to 0 lim (\frac{sin ( x )}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{cos ( x )}{1})

Setze den Wert

x = 0

ein

= \frac{cos ( 0 )}{1}

Vereinfache

\frac{cos ( 0 )}{1} : 1

= 1

Graph

Beliebte Beispiele

integral from 0 to 3pi of |sin(x)|

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\frac{d}{d x} (\frac{2 x}{x - 3})

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\int \frac{1}{x ^{4} - 1} d x

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

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