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Beliebt Rechnen >

limit as x approaches 0 of (x^2)/(sin^2(7x))

Lösung

x \to 0 lim (\frac{x ^{2}}{sin ^{2} ( 7 x )})

Lösung

\frac{1}{49}

+1

Dezimale

0.02040 \dots

Schritte zur Lösung

x \to 0 lim (\frac{x ^{2}}{sin ^{2} ( 7 x )})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{2 x}{14 sin ( 7 x ) cos ( 7 x )})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{2}{98 cos ( 14 x )})

Setze den Wert

x = 0

ein

= \frac{2}{98 cos ( 14 \cdot 0 )}

Vereinfache

\frac{2}{98 cos ( 14 \cdot 0 )} : \frac{1}{49}

= \frac{1}{49}

Graph

Beliebte Beispiele

tangent x^2=y^2,(1,-1)

t an g e n t x^{2} = y^{2}, (1, - 1)

tangent f(x)=x^2-7x+7,\at x=0

t an g e n t f (x) = x^{2} - 7 x + 7, at x = 0

(\partial)/(\partial x)(-y*cos(x))

\frac{\partial}{\partial x} (- y \cdot cos (x))

xy^'=(1-4x^2)tan(y)

x y^{^{'}} = (1 - 4 x^{2}) tan (y)

integral from 2 to infinity of ye^{-9y}

\int_{2}^{\infty} y e^{- 9 y} d y