limit as t approaches 0 of (t^2)/(1-cos^2(t))

Lösung

t \to 0 lim (\frac{t ^{2}}{1 - cos ^{2} ( t )})

1

Schritte zur Lösung

t \to 0 lim (\frac{t ^{2}}{1 - cos ^{2} ( t )})

Wende das L'Hopital Theorem an

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

Wende das L'Hopital Theorem an

= t \to 0 lim (\frac{2}{cos ( 2 t ) \cdot 2})

Setze den Wert

t = 0

ein

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

Vereinfache

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

= 1

x \to 0 lim (\frac{2 x ^{2}}{∣ x ∣})

x \to \infty lim (e^{- 3 s i n (x)})

x \to \infty lim (\frac{3 x + 2 e ^{x}}{4 x - e ^{3 x}})

x \to 0 lim (e^{t a n (x)})

x \to 0 lim (\frac{x}{arcsin ( x )})