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Beliebt Rechnen >

limit as x approaches 2 of (x^x-4)/(x-2)

Lösung

x \to 2 lim (\frac{x ^{x} - 4}{x - 2})

Lösung

4 (ln (2) + 1)

+1

Dezimale

6.77258 \dots

Schritte zur Lösung

x \to 2 lim (\frac{x ^{x} - 4}{x - 2})

Wende das L'Hopital Theorem an

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

Setze den Wert

x = 2

ein

= \frac{2 ^{2} ( ln ( 2 ) + 1 )}{1}

Vereinfache

= 4 (ln (2) + 1)

Graph

Beliebte Beispiele

integral of 1/(x*(x-1))

\int \frac{1}{x \cdot ( x - 1 )} d x

(\partial)/(\partial x)((12x)/(sqrt(y+6)))

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derivative (ln(8x))/(8x)

d er i v a t i v e \frac{ln ( 8 x )}{8 x}

integral of 3/(e^{sqrt(x))}

\int \frac{3}{e ^{x}} d x

derivative of \sqrt[3]{x}(x^2+4)

\frac{d}{d x} (3 x (x^{2} + 4))