limit as x approaches 0 of sin^2(x)(1/x)

Lösung

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

0

Schritte zur Lösung

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

Vereinfache

sin^{2} (x) \frac{1}{x} : \frac{sin ^{2} ( x )}{x}

= 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

x \to - 1 lim (\frac{1}{x ^{2} + 1})

n = 0 \sum \infty \frac{6}{5 ^{n}}

\int 2 sec (2 x) tan (2 x) d x

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\int_{2}^{4} x^{2} y + y^{2} x + x + y d x