Theorem. Suppose that an converges to A ER and that be converges to BER. Then, n=1 n=1 1. E 2. can converges to CAV CER. {an+bn} converges to A + BER. Prove the above theorem using results about the limits of sequences (Hint: Consider the partial sums).
Theorem. Suppose that an converges to A ER and that be converges to BER. Then, n=1 n=1 1. E 2. can converges to CAV CER. {an+bn} converges to A + BER. Prove the above theorem using results about the limits of sequences (Hint: Consider the partial sums).
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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Transcribed Image Text:Question 7: Recall the following theorem from the lectures:
Theorem. Suppose that 1 an converges to A ER and that be converges to
BER. Then,
n=1
1. E
2.
n=1
can converges to CAV CER.
{an + bn} converges to A + BER.
Prove the above theorem using results about the limits of sequences (Hint: Consider
the partial sums).
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