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real analysis problem to prove a infinite series converges or diverges

real analysis problem to prove a infinite series converges or diverges

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

2 comments
  • 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

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