real analysis problem to prove a infinite series converges or diverges
Series a_k and series b_k converge then series... View the full answer
- can you provide the proof details?
- 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.
- Nov 24, 2015 at 10:19pm