- #1
matt.qmar
- 7
- 0
Hey,
I am trying to determine the convergence/divergence of
Ʃn=1∞ in/n.
I have tried all the tests I could think of (Comparison, Ratio, Root, nth term) and cannot determine it's convergence.
If there was a formula, for say, the Mth partial sum SM then, if the limit as M → ∞ of SM is L, we have convergence to L but I can't seem to arrange for the thing to add up the first M terms.
Clearly, I think something can be done with the fact that in = {i, -1, -i, 1} repeatably with periodicity 4. I'm not sure how this can exactly be of help though!
Any help appreciated, thanks.
I am trying to determine the convergence/divergence of
Ʃn=1∞ in/n.
I have tried all the tests I could think of (Comparison, Ratio, Root, nth term) and cannot determine it's convergence.
If there was a formula, for say, the Mth partial sum SM then, if the limit as M → ∞ of SM is L, we have convergence to L but I can't seem to arrange for the thing to add up the first M terms.
Clearly, I think something can be done with the fact that in = {i, -1, -i, 1} repeatably with periodicity 4. I'm not sure how this can exactly be of help though!
Any help appreciated, thanks.