limit as x approaches 2+of (2-x)/(|2-x|)

Lösung

x \to 2 + lim (\frac{2 - x}{∣ 2 - x ∣})

- 1

Schritte zur Lösung

x \to 2 + lim (\frac{2 - x}{∣ 2 - x ∣})

2 - x

ist negativ wenn

x \to 2 +

. Deshalb

∣ 2 - x ∣ = - 2 + x

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

\frac{2 - x}{- 2 + x} = - 1

= x \to 2 + lim (- 1)

x \to a lim c = c

= - 1

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

x \to 5 lim (x^{2} - 10)

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

n \to \infty lim (2 n + 6)

x \to 1 lim (6 - 3 x)