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Let {an} be a sequence of real no. such that  Then
  • a)
    The sequence {an} may be unbounded
  • b)
    The sequence {an} has bounded but may not converge
  • c)
    The sequence {an} has exactly two limit points
  • d)
    The sequence {an} is convergent.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Let {an} be a sequence of real no. such thatThena)The sequence {an} ma...
We know if {an} be a sequence s.t.

Then if ∑un is convergent then sequence {an} is Cauchy and hence convergent
Now here we have 
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Most Upvoted Answer
Let {an} be a sequence of real no. such thatThena)The sequence {an} ma...
We know if {an} be a sequence s.t.

Then if ∑un is convergent then sequence {an} is Cauchy and hence convergent
Now here we have 
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Let {an} be a sequence of real no. such thatThena)The sequence {an} may be unboundedb)The sequence {an} has bounded but may not convergec)The sequence {an} has exactly two limit pointsd)The sequence {an} is convergent.Correct answer is option 'D'. Can you explain this answer?
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