limit as x approaches 2-of x/(x^2-4)

Lösung

x \to 2 - lim (\frac{x}{x ^{2} - 4})

- \infty

Schritte zur Lösung

x \to 2 - lim (\frac{x}{x ^{2} - 4})

\frac{x}{x ^{2} - 4} = x \frac{1}{x ^{2} - 4}

= x \to 2 - lim (x \frac{1}{x ^{2} - 4})

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) \cdot x \to 2 - lim (\frac{1}{x ^{2} - 4})

x \to 2 - lim (x) = 2

x \to 2 - lim (\frac{1}{x ^{2} - 4}) = - \infty

= 2 (- \infty)

Wende die Unendlichkeitseigenschaft an:

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

= - \infty

f (x) = \frac{1}{x ^{2} - 9}

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

\int \frac{e ^{x}}{e ^{2 x} + 3 e ^{x} + 2} d x

\int 5 e^{5 x} d x

t an g e n t f (x) = - 6 x^{2} - 9, at x = 0