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Beliebt Rechnen >

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

Lösung

x \to 0 + lim (\frac{x + ∣ x ∣}{x})

Lösung

2

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})

\frac{x + x}{x} = 2

= x \to 0 + lim (2)

x \to a lim c = c

= 2

Graph

Beliebte Beispiele

limit as x approaches 4 of x^3+6x^2-5x-1

x \to 4 lim (x^{3} + 6 x^{2} - 5 x - 1)

derivative of (1-3x/(2+x))

\frac{d}{d x} (\frac{1 - 3 x}{2 + x})

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\int sec^{5} (x) d x

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t an g e n t f (x) = x x, at x = 0

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\int \frac{1}{x ^{2} + 8 x + 32} d x