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Beliebt Rechnen >

limit as x approaches-9+of (x+10)/(x+9)

Lösung

x \to - 9 + lim (\frac{x + 10}{x + 9})

Lösung

\infty

Schritte zur Lösung

x \to - 9 + lim (\frac{x + 10}{x + 9})

\frac{x + 10}{x + 9} = (x + 10) \frac{1}{x + 9}

= x \to - 9 + lim ((x + 10) \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 + 10) \cdot x \to - 9 + lim (\frac{1}{x + 9})

x \to - 9 + lim (x + 10) = 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

limit as x approaches-2+of-3x+5

x \to - 2 + lim (- 3 x + 5)

limit as x approaches 5+of (|x-5|)/(x-5)

x \to 5 + lim (\frac{∣ x - 5 ∣}{x - 5})

integral of 1/(2+7x^2)

\int \frac{1}{2 + 7 x ^{2}} d x

derivative of (1/2 ^x)

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

y^{''}-9y^'+3y=xe^x

y^{^{''}} - 9 y^{^{'}} + 3 y = x e^{x}