Question

sa se dezolte in serie taylor f(z)=sin z ,z apartine C

Answer 1

sin z=sin a +cosa/1!*(z-a)-sina/2!*(z-a)²-cosa/3!*(z-a)³+sina/4!(z-a)^4+...+ sin(n)/n!*(z-a)^n+Rn(z)   unde  a∈C
Daca   a=0  obtii   seria  McLaurin
sinz= sin0+cos0/1!z-sin0/2!*z²-cos0/3!*z³+sin0/4!*+...+sin(n)(0)/n!*zn+Rn(z)
sinz=1+z+z³/3!+...+sin(n)z*z^(n)+Rnz
Rn(z)  =restul  seriei.  nu-mi   amintwesc  cum  se   calculeaza