limit as x approaches 3+of (x-6)/(x-3)

Lösung

x \to 3 + lim (\frac{x - 6}{x - 3})

- \infty

Schritte zur Lösung

x \to 3 + lim (\frac{x - 6}{x - 3})

\frac{x - 6}{x - 3} = (x - 6) \frac{1}{x - 3}

= x \to 3 + lim ((x - 6) \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 - 6) \cdot x \to 3 + lim (\frac{1}{x - 3})

x \to 3 + lim (x - 6) = - 3

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

= (- 3) \cdot \infty

Wende die Unendlichkeitseigenschaft an:

- c \cdot \infty = - \infty

= - \infty

t \to 0 lim (t)

a \to m lim (a x^{2} + b x + c)

x \to 7 lim (\frac{x - 7}{x - 4 - 3})

x \to 2 lim (a x^{2} + 2 x)

x \to 1 lim ((3 x + 1) (x^{2} + 1))