limit as x approaches 2-of (x+2)/(x-2)

Lösung

x \to 2 - lim (\frac{x + 2}{x - 2})

- \infty

Schritte zur Lösung

x \to 2 - lim (\frac{x + 2}{x - 2})

\frac{x + 2}{x - 2} = (x + 2) \frac{1}{x - 2}

= x \to 2 - lim ((x + 2) \frac{1}{x - 2})

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) \cdot x \to 2 - lim (\frac{1}{x - 2})

x \to 2 - lim (x + 2) = 4

x \to 2 - lim (\frac{1}{x - 2}) = - \infty

= 4 (- \infty)

Wende die Unendlichkeitseigenschaft an:

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

= - \infty

d er i v a t i v e y = x - 2

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

\frac{\partial}{\partial x} (5 x y arcsin (yz))

\frac{d}{d x} (\frac{- 2}{x ^{4}} + \frac{1}{x ^{3}} - x)

\frac{\partial}{\partial t} (5 t)