- #1
FallingMan
- 31
- 0
Homework Statement
Ʃ(-1/2)^k from 0 to infinity.
Homework Equations
Ʃ(-1)^k*B_n from 0 to infinity
where if the series converges
1. lim of B_n as n goes to infinity must = 0
2. B_n must be decreasing
The Attempt at a Solution
It doesn't look like there is a B_n in the original equation at all. Do I manipulate it algebraically somehow to extract the B_n, or is there some clever trick?
Is the B_n simply 1? If if that's the case, lim of 1 as n goes to infinity would just be one, but apparently that's not true from checking the answer (which is it does, indeed, converge).
Thanks.