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Beliebt Rechnen >

limit as x approaches 2+of (x^2-2x-8)/(x^2-5x+6)

Lösung

x \to 2 + lim (\frac{x ^{2} - 2 x - 8}{x ^{2} - 5 x + 6})

Lösung

\infty

Schritte zur Lösung

x \to 2 + lim (\frac{x ^{2} - 2 x - 8}{x ^{2} - 5 x + 6})

\frac{x ^{2} - 2 x - 8}{x ^{2} - 5 x + 6} = (x^{2} - 2 x - 8) \frac{1}{x ^{2} - 5 x + 6}

= x \to 2 + lim ((x^{2} - 2 x - 8) \frac{1}{x ^{2} - 5 x + 6})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

= x \to 2 + lim (x^{2} - 2 x - 8) \cdot x \to 2 + lim (\frac{1}{x ^{2} - 5 x + 6})

x \to 2 + lim (x^{2} - 2 x - 8) = - 8

x \to 2 + lim (\frac{1}{x ^{2} - 5 x + 6}) = - \infty

= (- 8) (- \infty)

Wende die Unendlichkeitseigenschaft an:

- c \cdot (- \infty) = \infty

= \infty

Graph

Beliebte Beispiele

integral of (x+4)/(x^2+8x+17)

\int \frac{x + 4}{x ^{2} + 8 x + 17} d x

derivative of 2+1/x

\frac{d}{d x} (2 + \frac{1}{x})

derivative f(x)=x(x+1)^2

d er i v a t i v e f (x) = x (x + 1)^{2}

(\partial)/(\partial x)(2x^2+3y^2-z^2)

\frac{\partial}{\partial x} (2 x^{2} + 3 y^{2} - z^{2})

tangent y=4+xsqrt(x),(1,5)

t an g e n t y = 4 + x x, (1, 5)