limit as θ approaches 0 of (sin(θ))/(4θ)

Lösung

θ \to 0 lim (\frac{sin ( θ )}{4 θ})

\frac{1}{4}

Dezimale

0.25

Schritte zur Lösung

θ \to 0 lim (\frac{sin ( θ )}{4 θ})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{4} \cdot θ \to 0 lim (\frac{sin ( θ )}{θ})

Wende das L'Hopital Theorem an

= \frac{1}{4} \cdot θ \to 0 lim (\frac{cos ( θ )}{1})

Setze den Wert

θ = 0

ein

= \frac{1}{4} \cdot \frac{cos ( 0 )}{1}

Vereinfache

\frac{1}{4} \cdot \frac{cos ( 0 )}{1} : \frac{1}{4}

= \frac{1}{4}

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

n \to \infty lim ((1 - \frac{3}{n})^{2 n})

x \to 4 lim (lo g_{5} (6 x + 1))

x \to 2 lim (12)

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