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Beliebt Rechnen >

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

Lösung

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

Lösung

0

Schritte zur Lösung

x \to 0 lim (\frac{xx}{x + x})

Vereinfache

\frac{xx}{x + x} : \frac{x}{2}

= x \to 0 lim (\frac{x}{2})

Setze den Wert

x = 0

ein

= \frac{0}{2}

Wende Regel an

\frac{0}{a} = 0, a \neq = 0

= 0

Graph

Beliebte Beispiele

derivative f(x)=4x\sqrt[3]{x}

d er i v a t i v e f (x) = 4 x 3 x

derivative f(x)=(3x+7)^2

d er i v a t i v e f (x) = (3 x + 7)^{2}

derivative of f(x)=(5x-5x^3)(7+sqrt(x))

\frac{d}{d x} f (x) = (5 x - 5 x^{3}) (7 + x)

x(dy)/(dx)+y= 1/(y^2)

x \frac{d y}{d x} + y = \frac{1}{y ^{2}}

derivative of 30-80e^{-0.8x}

\frac{d}{d x} (30 - 80 e^{- 0.8 x})