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

Lösung

x \to 0 + lim (\frac{x - ∣ x ∣}{x})

0

Schritte zur Lösung

x \to 0 + lim (\frac{x - ∣ x ∣}{x})

x

ist positiv wenn

x \to 0 +

. Deshalb

∣ x ∣ = x

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

Vereinfache

= x \to 0 + lim (0)

x \to a lim c = c

= 0

x \to \infty lim (ln (3 x) - ln (x + 7))

\frac{d}{d x} (2 x x^{2} + 1)

\int \frac{6 x + 7}{( 9 x ^{2} + 21 x ) ^{3}} d x

\frac{d}{d x} (\frac{x ^{2}}{x ^{3} + 8})

\frac{d}{d x} (103 sin (x) - 10 cos (x))