Question Number 148639 by tabata last updated on 29/Jul/21

find singular point of this following and whats the type of singular point ? (1)f(z)=(1/(lnz)) (2)f(z)=((1−cos(z+i))/(z(z^2 +1)^2 )) (3)f(z)=((sinz)/(z^2 +z)) (4)f(z)=((sin2z)/z^2 )

Answered by mathmax by abdo last updated on 30/Jul/21

1) f(z)=(1/(lnz)) o is singular point 2)f(z)=((1−cos(z+i))/(z(z−i)^2 (z+i)^2 )) les points singuliers sont les poles o ,+^− i 3)f(z)=((sinz)/(z(z+1))) ⇒les point singuliers sont o et −1 4)f(z)=((sin(2z))/z^2 ) ⇒o est point singulier (pole dordre 2)

Commented bySozan last updated on 30/Jul/21

thank you sir can you give me the series ajust number (1) please