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Beliebt Rechnen >

limit as x approaches 0 of ((4^x-1))/x

Lösung

x \to 0 lim (\frac{( 4 ^{x} - 1 )}{x})

Lösung

2 ln (2)

+1

Dezimale

1.38629 \dots

Schritte zur Lösung

x \to 0 lim (\frac{4 ^{x} - 1}{x})

Wende das L'Hopital Theorem an

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

Setze den Wert

x = 0

ein

= \frac{ln ( 2 ) \cdot 2 ^{2 \cdot 0 + 1}}{1}

Vereinfache

= 2 ln (2)

Graph

Beliebte Beispiele

integral of sin(7x-10)

\int sin (7 x - 10) d x

limit as x approaches infinity of 4x^3

x \to \infty lim (4 x^{3})

(\partial}{\partial y}(ln(\frac{x^2)/y))

\frac{\partial}{\partial y} (ln (\frac{x ^{2}}{y}))

derivative of sqrt(4/9 x^3)

\frac{d}{d x} (\frac{4}{9} x^{3})

maclaurin xsin(x^2)

ma c l a u r in x sin (x^{2})