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

Lösung

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

1

Schritte zur Lösung

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

x - 4

ist positiv wenn

x \to 4 +

. Deshalb

∣ x - 4 ∣ = x - 4

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

Vereinfache

= x \to 4 + lim (1)

x \to a lim c = c

= 1

\frac{d}{d x} (ln (\frac{∣ x - 1 ∣}{∣ x - 3 ∣}))

\int 2 x sec^{2} (3 x) x d x

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

\frac{d}{d x} (sec (x) tan (x))

\frac{\partial}{\partial x} (2 y ln (x))