limit as x approaches-7-of (|x+7|)/(x+7)

Lösung

x \to - 7 - lim (\frac{∣ x + 7 ∣}{x + 7})

- 1

Schritte zur Lösung

x \to - 7 - lim (\frac{∣ x + 7 ∣}{x + 7})

x + 7

ist negativ wenn

x \to - 7 -

. Deshalb

∣ x + 7 ∣ = - x - 7

= x \to - 7 - lim (\frac{- x - 7}{x + 7})

\frac{- x - 7}{x + 7} = - 1

= x \to - 7 - lim (- 1)

x \to a lim c = c

= - 1

x \to 0 lim (\frac{ln ( 2 x + 1 )}{x})

x \to \infty lim (\frac{1}{2} \cdot x)

x \to - 2 lim (9 - x^{2})

x \to 1 lim (\frac{ln ( x )}{1 - 1})

x \to - \frac{1}{2} lim (\frac{7}{∣ 2 x + 1 ∣})