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Beliebt Rechnen >

limit as x approaches 0 of ((x-4)/(x+1))^{x-2}

Lösung

x \to 0 lim ((\frac{x - 4}{x + 1})^{x - 2})

Lösung

\frac{1}{16}

+1

Dezimale

0.0625

Schritte zur Lösung

x \to 0 lim ((\frac{x - 4}{x + 1})^{x - 2})

Setze den Wert

x = 0

ein

= (\frac{0 - 4}{0 + 1})^{0 - 2}

Vereinfache

(\frac{0 - 4}{0 + 1})^{0 - 2} : \frac{1}{16}

= \frac{1}{16}

Graph

Beliebte Beispiele

derivative of (sqrt(x)x/(x^2))

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

y^'+3y=e^{-4t},y(0)=5

y^{^{'}} + 3 y = e^{- 4 t}, y (0) = 5

derivative of 9/(e^x-e^{-x})

\frac{d}{d x} (\frac{9}{e ^{x} - e ^{- x}})

x^2+3y(dy)/(dx)=0

x^{2} + 3 y \frac{d y}{d x} = 0

integral from 0 to 16 of 1/(sqrt(x))

\int_{0}^{16} \frac{1}{x} d x