limit as x approaches 2 of (2x^2-5x+2)/(x^3-2x^2)

Lösung

x \to 2 lim (\frac{2 x ^{2} - 5 x + 2}{x ^{3} - 2 x ^{2}})

\frac{3}{4}

Dezimale

0.75

Schritte zur Lösung

x \to 2 lim (\frac{2 x ^{2} - 5 x + 2}{x ^{3} - 2 x ^{2}})

Vereinfache

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

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

Setze den Wert

x = 2

ein

= \frac{2 \cdot 2 - 1}{2 ^{2}}

Vereinfache

= \frac{3}{4}

\frac{d}{d x} (a x^{2} e^{- 3 x})

\frac{\partial}{\partial x} (x^{4} - 8 x y - 5 y^{2})

\int \frac{5}{4 x ^{2}} d x

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

x \to 2 lim (\frac{11 x}{4 - x ^{2}})