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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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