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Let ∑an be series o f real number and ∑pn and ∑qn be the series of positive and negative terms of ∑an respectively, then select the correct statement
  • a)
    ∑qn may be convergent if ∑an is conditionally convergent
  • b)
    ∑pn or ∑qn is divergent then ∑an is divergent
  • c)
    ∑an is absolutely convergent if ∑Pn and ∑qn are convergent. But converse may be true
  • d)
    ∑an is absolutely convergent then ∑pn and ∑qn are convergent
Correct answer is option 'D'. Can you explain this answer?
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Let ∑an be series o f real number and ∑pn and ∑qn be the series of positive and negative terms of ∑an respectively, then select the correct statementa)∑qn may be convergent if ∑an is conditionally convergentb)∑pn or ∑qn is divergent then ∑an is divergentc)∑an is absolutely convergent if ∑Pn and ∑qn are convergent. But converse may be trued)∑an is absolutely convergent then ∑pn and ∑qn are convergentCorrect answer is option 'D'. Can you explain this answer?
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Let ∑an be series o f real number and ∑pn and ∑qn be the series of positive and negative terms of ∑an respectively, then select the correct statementa)∑qn may be convergent if ∑an is conditionally convergentb)∑pn or ∑qn is divergent then ∑an is divergentc)∑an is absolutely convergent if ∑Pn and ∑qn are convergent. But converse may be trued)∑an is absolutely convergent then ∑pn and ∑qn are convergentCorrect answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let ∑an be series o f real number and ∑pn and ∑qn be the series of positive and negative terms of ∑an respectively, then select the correct statementa)∑qn may be convergent if ∑an is conditionally convergentb)∑pn or ∑qn is divergent then ∑an is divergentc)∑an is absolutely convergent if ∑Pn and ∑qn are convergent. But converse may be trued)∑an is absolutely convergent then ∑pn and ∑qn are convergentCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let ∑an be series o f real number and ∑pn and ∑qn be the series of positive and negative terms of ∑an respectively, then select the correct statementa)∑qn may be convergent if ∑an is conditionally convergentb)∑pn or ∑qn is divergent then ∑an is divergentc)∑an is absolutely convergent if ∑Pn and ∑qn are convergent. But converse may be trued)∑an is absolutely convergent then ∑pn and ∑qn are convergentCorrect answer is option 'D'. Can you explain this answer?.
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