limit as x approaches 0-of (x-|x|)/x

Lösung

x \to 0 - lim (\frac{x - ∣ x ∣}{x})

2

Schritte zur Lösung

x \to 0 - lim (\frac{x - ∣ x ∣}{x})

x

ist negativ wenn

x \to 0 -

. Deshalb

∣ x ∣ = - x

= x \to 0 - lim (\frac{x - ( - x )}{x})

\frac{x - ( - x )}{x} = 2

= x \to 0 - lim (2)

x \to a lim c = c

= 2

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

x \to 3 lim (3 - 3 x)

x \to 2 lim (x^{3} + 7 x^{2} - 2 x + 4)

x \to 0 lim (3 (tan (x))^{x})

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