# A possible solution to the infinite summation of sin(x)

1. Apr 27, 2012

### Frogeyedpeas

So basically here's the deal:

I believe there exists a P(x) defined on [-2π, 2π]

such that over that interval P(x) = $\sum^{\infty}_{n=0}[sin(πnx)]$

Its weird but I have a feeling that this might converge to a function such as tangent

Last edited: Apr 27, 2012
2. Apr 27, 2012

### lugita15

See here. You can see that the formula for the partial sum just oscilllates and doesn't approach any value as you go to infinity, except for x=0.