(a) Find a convergent subsequence of the sequence (an) defind by an = (-1)" + 5n 3n+1

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Chapter2: Second-order Linear Odes
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(a) Find a convergent subsequence of the sequence (an) defind by an = (-1)n + 3n+1
5n
(b) Consider the sequence (bn) defined by bn = 5 cos(n²+1). Does it have a convergent
subsequence? Explain why or why not.
Transcribed Image Text:(a) Find a convergent subsequence of the sequence (an) defind by an = (-1)n + 3n+1 5n (b) Consider the sequence (bn) defined by bn = 5 cos(n²+1). Does it have a convergent subsequence? Explain why or why not.
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