limit as x approaches 1+of (|1-x|)/(x-1)

Lösung

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

1

Schritte zur Lösung

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

1 - x

ist negativ wenn

x \to 1 +

. Deshalb

∣ 1 - x ∣ = - 1 + x

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

Vereinfache

= x \to 1 + lim (1)

x \to a lim c = c

= 1

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

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

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

x \to 0 lim (\frac{4 ( - 1 + x ) + 4}{x})

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