limit as x approaches 0-of x+4/(x^2)

Lösung

x \to 0 - lim (x + \frac{4}{x ^{2}})

\infty

Schritte zur Lösung

x \to 0 - lim (x + \frac{4}{x ^{2}})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

= x \to 0 - lim (x) + x \to 0 - lim (\frac{4}{x ^{2}})

x \to 0 - lim (x) = 0

x \to 0 - lim (\frac{4}{x ^{2}}) = \infty

= 0 + \infty

Wende die Unendlichkeitseigenschaft an:

c + \infty = \infty

= \infty

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

x \to a lim (f (x) g (x))

x \to 0 lim ((\frac{1 + x}{x})^{2} - 1)

x \to \infty lim (\frac{x}{θ})

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