calcul-Residus-de-f-en-o-f-z-ze-z-z-1-2-

Question Number 206550 by SANOGO last updated on 18/Apr/24

c a l c u l R e s i d u s d e f e n o

f (z) = \frac{{z e}^{z}}{{(z - 1)}^{2}}

Answered by Berbere last updated on 18/Apr/24

f n^{'} a p a s d e p o l e s e n 0; R e s (f, 0) = 0

1 e s t l e s e u l} P o l e d o r d r e 2

R e s (f, 1) = \frac{\partial}{\partial z} {(z - 1)}^{2} . \frac{{z e}^{z}}{{(z - 1)}^{2}} ∣_{z = 1} = \frac{\partial}{\partial z} ({z e}^{z}) ∣_{z = 1} = (z + 1) e^{z} ∣_{z = 1} = 2 e

Facebook Tweet Pin