limit as x approaches 2 of ((x^2-3)/(x^3-4x+2))^2

Lösung

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

\frac{1}{4}

Dezimale

0.25

Schritte zur Lösung

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

Setze den Wert

x = 2

ein

= (\frac{2 ^{2} - 3}{2 ^{3} - 4 \cdot 2 + 2})^{2}

Vereinfache

(\frac{2 ^{2} - 3}{2 ^{3} - 4 \cdot 2 + 2})^{2} : \frac{1}{4}

= \frac{1}{4}

x \to 4 + lim (\frac{x - 1}{4 - x})

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

x \to 6 lim (x - 1)

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

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