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Beliebt Rechnen >

limit as x approaches 1 of ((x^5-1))/(x^3-1)

Lösung

x \to 1 lim (\frac{( x ^{5} - 1 )}{x ^{3} - 1})

Lösung

\frac{5}{3}

+1

Dezimale

1.66666 \dots

Schritte zur Lösung

x \to 1 lim (\frac{x ^{5} - 1}{x ^{3} - 1})

Vereinfache

\frac{x ^{5} - 1}{x ^{3} - 1} : \frac{x ^{4} + x ^{3} + x ^{2} + x + 1}{x ^{2} + x + 1}

= x \to 1 lim (\frac{x ^{4} + x ^{3} + x ^{2} + x + 1}{x ^{2} + x + 1})

Setze den Wert

x = 1

ein

= \frac{1 ^{4} + 1 ^{3} + 1 ^{2} + 1 + 1}{1 ^{2} + 1 + 1}

Vereinfache

= \frac{5}{3}

Graph

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