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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

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

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