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Beliebt Rechnen >

limit as x approaches 0 of (sin(10x))/x

Lösung

x \to 0 lim (\frac{sin ( 10 x )}{x})

Lösung

10

Schritte zur Lösung

x \to 0 lim (\frac{sin ( 10 x )}{x})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{cos ( 10 x ) \cdot 10}{1})

Setze den Wert

x = 0

ein

= \frac{cos ( 10 \cdot 0 ) \cdot 10}{1}

Vereinfache

\frac{cos ( 10 \cdot 0 ) \cdot 10}{1} : 10

= 10

Graph

Beliebte Beispiele

integral from 0 to 2 of (4x+3)/(x^4)

\int_{0}^{2} \frac{4 x + 3}{x ^{4}} d x

integral of (5x^3-7x^2+2x+1)

\int (5 x^{3} - 7 x^{2} + 2 x + 1) d x

derivative of 30+1/(x+1-3x^2)

\frac{d}{d x} (30 + \frac{1}{x + 1} - 3 x^{2})

derivative of 1/(5x^2+2x)

\frac{d}{d x} (\frac{1}{5 x ^{2} + 2 x})

inverselaplace (5s+3)/((s-1)(s^2+2s+5))

in v erse l a pl a ce \frac{5 s + 3}{( s - 1 ) ( s ^{2} + 2 s + 5 )}