Problem 2. (A) Prove that if the nonnegative series > an and > bn converge, then so nEN nEN does the series a,bn- neN (B) Deduce that if the nonnegative series an converges, then so does the nEN series a,?. nEN
Problem 2. (A) Prove that if the nonnegative series > an and > bn converge, then so nEN nEN does the series a,bn- neN (B) Deduce that if the nonnegative series an converges, then so does the nEN series a,?. nEN
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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Transcribed Image Text:Instructions: Show all your work Indicate your answers clearly.
Problem 2.
(A) Prove that if the nonnegative series an and bm converge, then so
nEN
does the series
anbn.
nEN
(B) Deduce that if the nonnegative series an converges, then so does the
neN
series Σa,2.
nEN
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