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Beliebt Rechnen >

limit as x approaches 8 of ((x^{1/3}-2))/(x-8)

Lösung

x \to 8 lim \frac{( x ^{\frac{1}{3}} - 2 )}{x - 8}

Lösung

\frac{1}{12}

+1

Dezimale

0.08333 \dots

Schritte zur Lösung

x \to 8 lim (\frac{x ^{\frac{1}{3}} - 2}{x - 8})

Wende das L'Hopital Theorem an

= x \to 8 lim (\frac{\frac{1}{3 x ^{\frac{2}{3}}}}{1})

Setze den Wert

x = 8

ein

= \frac{\frac{1}{3 \cdot 8 ^{\frac{2}{3}}}}{1}

Vereinfache

\frac{\frac{1}{3 \cdot 8 ^{\frac{2}{3}}}}{1} : \frac{1}{12}

= \frac{1}{12}

Graph

Beliebte Beispiele

integral of 1/(y^6)

\int \frac{1}{y ^{6}} d y

f(t)=(\sqrt[4]{t})/3

f (t) = \frac{4 t}{3}

limit as x approaches 0 of 1/(2+3x)

x \to 0 lim (\frac{1}{2 + 3 x})

y^'=57500-0.1733y

y^{^{'}} = 57500 - 0.1733 y

(d^2)/(dx^2)(6/(x^2))

\frac{d ^{2}}{d x ^{2}} (\frac{6}{x ^{2}})