limit as x approaches 4-of (|4-x|)/(4-x)

Lösung

x \to 4 - lim (\frac{∣ 4 - x ∣}{4 - x})

1

Schritte zur Lösung

x \to 4 - lim (\frac{∣ 4 - x ∣}{4 - x})

4 - x

ist positiv wenn

x \to 4 -

. Deshalb

∣ 4 - x ∣ = 4 - x

= x \to 4 - lim (\frac{4 - x}{4 - x})

Vereinfache

= x \to 4 - lim (1)

x \to a lim c = c

= 1

x \to \infty lim (x - a)

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

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

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

x \to \infty lim (x - 9)