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Beliebt Rechnen >

limit as x approaches 2-of (|x-x|)/(x-2)

Lösung

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

Lösung

0

Schritte zur Lösung

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

x - x

ist positiv wenn

x \to 2 -

. Deshalb

∣ x - x ∣ = x - x

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

Vereinfache

= x \to 2 - lim (0)

x \to a lim c = c

= 0

Graph

Beliebte Beispiele

derivative of tan(3xsc^3x)

\frac{d}{d x} (tan (3 x) s c^{3} x)

integral of 1/(xsqrt(1-4x^2))

\int \frac{1}{x 1 - 4 x ^{2}} d x

derivative f(x)=(x^4)/4-2x^2-4

d er i v a t i v e f (x) = \frac{x ^{4}}{4} - 2 x^{2} - 4

derivative x^2-2x+4

d er i v a t i v e x^{2} - 2 x + 4

derivative f(x)=4x^{5/4}+6x^{3/2}+3x

d er i v a t i v e f (x) = 4 x^{\frac{5}{4}} + 6 x^{\frac{3}{2}} + 3 x