limit as θ approaches 0 of (sin(3θ))/θ

Lösung

θ \to 0 lim (\frac{sin ( 3 θ )}{θ})

3

Schritte zur Lösung

θ \to 0 lim (\frac{sin ( 3 θ )}{θ})

Wende das L'Hopital Theorem an

= θ \to 0 lim (\frac{cos ( 3 θ ) \cdot 3}{1})

Setze den Wert

θ = 0

ein

= \frac{cos ( 3 \cdot 0 ) \cdot 3}{1}

Vereinfache

\frac{cos ( 3 \cdot 0 ) \cdot 3}{1} : 3

= 3

x \to 3 lim (\frac{x ^{2}}{x ^{2} - 9})

a re a 4 x + y^{2} = 12, x = y

\int \frac{x ^{4} + x ^{2} - 1}{x - 1} d x

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

x \to a lim (\frac{ln ( x ) - ln ( a )}{x - a})