limit as x approaches 2+of (x^3)/(x-2)

Lösung

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

\infty

Schritte zur Lösung

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

\frac{x ^{3}}{x - 2} = x^{3} \frac{1}{x - 2}

= x \to 2 + lim (x^{3} \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^{3}) \cdot x \to 2 + lim (\frac{1}{x - 2})

x \to 2 + lim (x^{3}) = 8

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

= 8 \cdot \infty

Wende die Unendlichkeitseigenschaft an:

c \cdot \infty = \infty

= \infty

\int_{5}^{10} 3 x + 3 d x

(- ln (x))^{^{'}}

\int_{1}^{2} x e^{7 x^{2}} d x

t a y l or f (x) = cos (π x)

l a pl a ce t r an s f or m - 5 (t - 1) e^{t}