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Beliebt Rechnen >

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

Lösung

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

Lösung

- \infty

Schritte zur Lösung

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

\frac{x + 4}{x + 3} = (x + 4) \frac{1}{x + 3}

= x \to - 3 - lim ((x + 4) \frac{1}{x + 3})

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 - 3 - lim (x + 4) \cdot x \to - 3 - lim (\frac{1}{x + 3})

x \to - 3 - lim (x + 4) = 1

x \to - 3 - lim (\frac{1}{x + 3}) = - \infty

= 1 \cdot (- \infty)

Wende die Unendlichkeitseigenschaft an:

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

= - \infty

Graph

Beliebte Beispiele

integral of 1/(7-6x)

\int \frac{1}{7 - 6 x} d x

limit as x approaches 5-of (x+1)/(x-5)

x \to 5 - lim (\frac{x + 1}{x - 5})

f (x) = - cos (x)

derivative of x(2x+1^3)

\frac{d}{d x} (x (2 x + 1)^{3})

tangent f(x)=(4x^2-3x)^2,\at x=1

t an g e n t f (x) = (4 x^{2} - 3 x)^{2}, at x = 1