limit as x approaches 2 of (sin(x-2))/(3x-6)

Lösung

x \to 2 lim (\frac{sin ( x - 2 )}{3 x - 6})

\frac{1}{3}

Dezimale

0.33333 \dots

Schritte zur Lösung

x \to 2 lim (\frac{sin ( x - 2 )}{3 x - 6})

Wende das L'Hopital Theorem an

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

Setze den Wert

x = 2

ein

= \frac{cos ( 2 - 2 )}{3}

cos (2 - 2) = 1

= \frac{1}{3}

x \to 0 + lim (x^{2} csc^{2} (3 x))

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

x \to 0 - lim ((1 - e^{x})^{x})

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

x \to \infty lim (\frac{4 x ^{2} - 5 x}{1 - 3 x ^{2}})