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Beliebt Rechnen >

limit as x approaches-9+of (x+8)/(x+9)

Lösung

x \to - 9 + lim (\frac{x + 8}{x + 9})

Lösung

- \infty

Schritte zur Lösung

x \to - 9 + lim (\frac{x + 8}{x + 9})

\frac{x + 8}{x + 9} = (x + 8) \frac{1}{x + 9}

= x \to - 9 + lim ((x + 8) \frac{1}{x + 9})

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 - 9 + lim (x + 8) \cdot x \to - 9 + lim (\frac{1}{x + 9})

x \to - 9 + lim (x + 8) = - 1

x \to - 9 + lim (\frac{1}{x + 9}) = \infty

= (- 1) \cdot \infty

Wende die Unendlichkeitseigenschaft an:

- c \cdot \infty = - \infty

= - \infty

Graph

Beliebte Beispiele

integral of 1/(4x^2+4^2)

\int \frac{1}{4 x ^{2} + 4 ^{2}} d x

sum from k=0 to infinity of-5(3/2)^{k+2}

k = 0 \sum \infty - 5 (\frac{3}{2})^{k + 2}

y^{^{'}} = y (x y^{5} + 3)

limit as x approaches-3 of x^3-2x^2+x+7

x \to - 3 lim (x^{3} - 2 x^{2} + x + 7)

y^'-y=2te^{2t},y(0)=1

y^{^{'}} - y = 2 t e^{2 t}, y (0) = 1