limit as x approaches 3-of (|x|-x)/(3-x)

Lösung

x \to 3 - lim (\frac{∣ x ∣ - x}{3 - x})

0

Schritte zur Lösung

x \to 3 - lim (\frac{∣ x ∣ - x}{3 - x})

x

ist positiv wenn

x \to 3 -

. Deshalb

∣ x ∣ = x

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

Vereinfache

= x \to 3 - lim (0)

x \to a lim c = c

= 0

x \to 2 lim (x + 7)

x \to 2 lim (2 x - 6)

x \to \frac{1}{2} lim (4 x (3 x + 4)^{2})

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

x \to 2 lim (4 x^{2} - 5 x + 3)