limit as x approaches-6+of (|x+6|)/(x+6)

Lösung

x \to - 6 + lim (\frac{∣ x + 6 ∣}{x + 6})

1

Schritte zur Lösung

x \to - 6 + lim (\frac{∣ x + 6 ∣}{x + 6})

x + 6

ist positiv wenn

x \to - 6 +

. Deshalb

∣ x + 6 ∣ = x + 6

= x \to - 6 + lim (\frac{x + 6}{x + 6})

Vereinfache

= x \to - 6 + lim (1)

x \to a lim c = c

= 1

x \to \infty lim (\frac{e ^{x} + sin ( x )}{e ^{x} + cos ( x )})

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

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

x \to 2 lim (3 x^{2} + 8 x - 1)

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