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

Lösung

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

- \infty

Schritte zur Lösung

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

x \to 2 + lim (ln (x - 2)) = - \infty

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

= - \infty + \frac{π}{2}

Wende die Unendlichkeitseigenschaft an:

- \infty + c = - \infty

= - \infty

x \to 0 lim (f (x) \cdot sin (x))

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

θ \to 0 lim (\frac{cos ( θ ) tan ( θ )}{θ})

x \to 2 lim (x^{3} e^{x} + 4^{x})

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