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Beliebt Rechnen >

limit as x approaches 0+of xln(x^2)

Lösung

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

Lösung

0

Schritte zur Lösung

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

Umformung für L'Hopital

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

Wende das L'Hopital Theorem an

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

Vereinfache

\frac{\frac{2}{x}}{- \frac{1}{x ^{2}}} : - 2 x

= x \to 0 + lim (- 2 x)

Setze den Wert

x = 0

ein

= - 2 \cdot 0

Vereinfache

= 0

Graph

Beliebte Beispiele

fläche y=9-x^2,y=0,x

a re a y = 9 - x^{2}, y = 0, x

derivative of ((3x-1)/(x^{2/3)})

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

(\partial)/(\partial x)(4+xln(xy-5))

\frac{\partial}{\partial x} (4 + x ln (x y - 5))

derivative of x(2-x)

\frac{d}{d x} (x (2 - x))

integral of (5x)/(e^{2x)}

\int \frac{5 x}{e ^{2 x}} d x