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Beliebt Rechnen >

limit as x approaches 0+of (ln(1+2x))/x

Lösung

x \to 0 + lim (\frac{ln ( 1 + 2 x )}{x})

Lösung

2

Schritte zur Lösung

x \to 0 + lim (\frac{ln ( 1 + 2 x )}{x})

Wende das L'Hopital Theorem an

= x \to 0 + lim (\frac{\frac{2}{1 + 2 x}}{1})

Setze den Wert

x = 0

ein

= \frac{\frac{2}{1 + 2 \cdot 0}}{1}

Vereinfache

= 2

Graph

Beliebte Beispiele

derivative of (x+y/(2+cos(x)))

\frac{d}{d x} (\frac{x + y}{2 + cos ( x )})

laplacetransform 2t^2-e^{-t}

l a pl a ce t r an s f or m 2 t^{2} - e^{- t}

limit as x approaches pi/2 of cos^2(x)

x \to \frac{π}{2} lim (cos^{2} (x))

f(x)=(cos(x^3))/(e^x)

f (x) = \frac{cos ( x ^{3} )}{e ^{x}}

derivative of xe^{-1}

\frac{d}{d x} (x e^{- 1})