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MMLU-Pro / 8704 / Statement 1 | Suppose s_n and t_n are sequences of complex numbers such that…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Statement 1 | Suppose {s_n} and {t_n} are sequences of complex numbers such that lim_n→∞ s_n = s and lim_n→∞ tn = t. lim_n→∞ s_nt_n = st. Statement 2 | There exists a bounded sequence of real numbers with no convergent subsequence.

category

math

options

  1. True, False
  2. False, True
  3. False, False
  4. Not enough information, False
  5. Not enough information, Not enough information
  6. Not enough information, True
  7. False, Not enough information
  8. True, Not enough information
  9. True, True

src

ori_mmlu-college_mathematics

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Official source

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