limit as u approaches 0 of (sin(u))/u

Lösung

u \to 0 lim (\frac{sin ( u )}{u})

1

Schritte zur Lösung

u \to 0 lim (\frac{sin ( u )}{u})

Wende das L'Hopital Theorem an

= u \to 0 lim (\frac{cos ( u )}{1})

Setze den Wert

u = 0

ein

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

Vereinfache

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

= 1

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

x \to 1 + lim (3 - x)

x \to 2 lim (x^{2} - 5 x + 3)

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

x \to 5 lim (4 x - 2)