julianabrito12
New member
- Joined
- Jul 30, 2015
- Messages
- 2
Hi,
I want to see of this series converge or not and understand why
Sum[sin(ik)/cos(ik)]*[(z-5-3i)^k], for k from 0 to infinity
I wanted to use the cauchy-hadamard theorem and calculate the convergence radius
for it I would say a[k]=sin(ik)/cos(ik) and do lim{abs{a[k]/a[k+1]}} as k->infinity
but I can't understand how to to a sin of a complex number and much less how to take the limits
I hope someone can help
Thank you very much
Juliana
I want to see of this series converge or not and understand why
Sum[sin(ik)/cos(ik)]*[(z-5-3i)^k], for k from 0 to infinity
I wanted to use the cauchy-hadamard theorem and calculate the convergence radius
for it I would say a[k]=sin(ik)/cos(ik) and do lim{abs{a[k]/a[k+1]}} as k->infinity
but I can't understand how to to a sin of a complex number and much less how to take the limits
I hope someone can help
Thank you very much
Juliana