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The sequence {xn}, where 
  • a)
    increasing but not bounded
  • b)
    increasing and bounded
  • c)
    decreasing and bounded
  • d)
    decreasing but not bounded
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The sequence {xn}, wherea)increasing but not boundedb)increasing and b...
If a sequence is eventually increasing and not bounded above, then it is divergent to positive infinity. If a sequence is eventually decreasing and not bounded below, then it is divergent to negative infinity.
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The sequence {xn}, wherea)increasing but not boundedb)increasing and b...
Xn greater Xn+1 for decreasing =Xn>Xn+1

Xn less Xn+1 for increasing =Xn< />

for bounded (0, ln2)
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