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Q: Which of the following statements is false निम्नलिखित में से कौन-सा कथन गलत है।
  • A. Every Cauchy sequence in R is convergent
  • B. Every convergent sequence is a Cauchy sequence
  • C. Every bounded sequence is a convergent
  • D. Every Cauchy sequence is a bounded
Correct Answer: Option C - Every bounded sequence is not necessarily a convergent sequence.
C. Every bounded sequence is not necessarily a convergent sequence.

Explanations:

Every bounded sequence is not necessarily a convergent sequence.