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

n = 1 \sum \infty n^{3} (1 + n^{4})

d er i v a t i v e f (x) = x \cdot e^{2 x - 4}, x = 2

d er i v a t i v e y = \frac{4}{7 x ^{2}}

x \to 4 lim (x^{3} + 6 x)

x \to 2 lim (3 cos (x))