real analysis problem to prove a infinite series converges or diverges

#### Top Answer

Series a_k and series b_k converge then series... View the full answer

- can you provide the proof details?
- ruuuby
- Nov 24, 2015 at 8:33pm

- Sorry! It does not converge always. Consider a_k=(-1)^k/sqrt(k) and b_k=a_k. Then both series converge by Leibniz test, but their product diverge as it is the harmonic series. I cannot upload any attachment now. But, I think you'll be able to get it. Sorry, about the inconvenience caused.
- Mathdomain
- Nov 24, 2015 at 10:19pm