limit as x approaches 0 of (3x^4+2x^2)/(x^4-x^2)

Lösung

x \to 0 lim (\frac{3 x ^{4} + 2 x ^{2}}{x ^{4} - x ^{2}})

- 2

Schritte zur Lösung

x \to 0 lim (\frac{3 x ^{4} + 2 x ^{2}}{x ^{4} - x ^{2}})

Vereinfache

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

= x \to 0 lim (\frac{3 x ^{2} + 2}{x ^{2} - 1})

Setze den Wert

x = 0

ein

= \frac{3 \cdot 0 ^{2} + 2}{0 ^{2} - 1}

Vereinfache

\frac{3 \cdot 0 ^{2} + 2}{0 ^{2} - 1} : - 2

= - 2

x \to 0 lim (8 x csc (9 x))

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

x \to 0 lim (\frac{e ^{x} - 1}{5 x ^{2}})

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