limit as z approaches 1+i of 3z^2+z-5

Lösung

z \to 1 + i lim (3 z^{2} + z - 5)

3 i^{2} + 7 i - 1

Schritte zur Lösung

z \to 1 + i lim (3 z^{2} + z - 5)

Setze den Wert

z = 1 + i

ein

= 3 (1 + i)^{2} + 1 + i - 5

Vereinfache

3 (1 + i)^{2} + 1 + i - 5 : 3 i^{2} + 7 i - 1

= 3 i^{2} + 7 i - 1

t \to 1 lim (sin (- 4 π t))

x \to π lim (sin (2 x))

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

x \to 4 lim (5 x^{2} - 9 x - 8)

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