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Beliebt Rechnen >

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

Lösung

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

Lösung

- 8 ln (2)

+1

Dezimale

- 5.54517 \dots

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

= x \to 3 lim (\frac{ln ( 2 ) \cdot 2 ^{x}}{- 1})

Setze den Wert

x = 3

ein

= \frac{ln ( 2 ) \cdot 2 ^{3}}{- 1}

Vereinfache

= - 8 ln (2)

Graph

Beliebte Beispiele

fläche y=4x,y=4,y= 4/9 x^24

a re a y = 4 x, y = 4, y = \frac{4}{9} x^{2} 4

integral from 6 to 8 of (62)/((x-6)^3)

\int_{6}^{8} \frac{62}{( x - 6 ) ^{3}} d x

(\partial)/(\partial u)(u^2v)

\frac{\partial}{\partial u} (u^{2} v)

integral of 12x^3(ln(4x))^2

\int 12 x^{3} (ln (4 x))^{2} d x

integral of (3x^2+8)

\int (3 x^{2} + 8) d x