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Beliebt Rechnen >

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

Lösung

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

Lösung

0

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{sin ( 2 x )}{1})

Setze den Wert

x = 0

ein

= \frac{sin ( 2 \cdot 0 )}{1}

Vereinfache

\frac{sin ( 2 \cdot 0 )}{1} : 0

= 0

Graph

Beliebte Beispiele

2 y^{^{'}} + 3 y = 5

derivative g(t)= 1/(sqrt(t))

d er i v a t i v e g (t) = \frac{1}{t}

integral from 1 to infinity of 2/(e^x)

\int_{1}^{\infty} \frac{2}{e ^{x}} d x

(\partial)/(\partial x)(6y^2-6x^2)

\frac{\partial}{\partial x} (6 y^{2} - 6 x^{2})

tangent f(x)=x^2+2,(2,6)

t an g e n t f (x) = x^{2} + 2, (2, 6)