limit as θ approaches 0 of (cos(θ)-1)/θ

Lösung

θ \to 0 lim (\frac{cos ( θ ) - 1}{θ})

0

Schritte zur Lösung

θ \to 0 lim (\frac{cos ( θ ) - 1}{θ})

Wende das L'Hopital Theorem an

= θ \to 0 lim (\frac{- sin ( θ )}{1})

Setze den Wert

θ = 0

ein

= \frac{- sin ( 0 )}{1}

Vereinfache

\frac{- sin ( 0 )}{1} : 0

= 0

\int_{0}^{2} π (\frac{1}{x + 4})^{2} d x

d er i v a t i v e f (x) = ln (81 sin^{2} (x))

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

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

t an g e n t y = 7 x - x^{2}, (1, 6)