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Let {xn }n > 1 be a sequence of positive real numbers. Which one of the following statements is always TRUE?
  • a)
    If {xn }n > 1 is a convergent sequence, then {xn }n > 1 is monotone
  • b)
    If  is a convergent sequence, then the sequence {xn }n > 1 does not converge
  • c)
    If the sequence  converges to 0, then the series  is convergent
  • d)
    If {xn }n > 1 is a convergent sequence, then  is also a convergent sequence
Correct answer is option 'D'. Can you explain this answer?
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Let {xn }n >1 be a sequence of positive real numbers. Which one of the following statements is always TRUE?a)If {xn }n >1 is a convergent sequence, then {xn }n >1 is monotoneb)If is a convergent sequence, then the sequence {xn }n >1 does not convergec)If the sequence converges to 0, then the series is convergentd)If {xn }n >1 is a convergent sequence, then is also a convergent sequenceCorrect answer is option 'D'. Can you explain this answer?
Question Description
Let {xn }n >1 be a sequence of positive real numbers. Which one of the following statements is always TRUE?a)If {xn }n >1 is a convergent sequence, then {xn }n >1 is monotoneb)If is a convergent sequence, then the sequence {xn }n >1 does not convergec)If the sequence converges to 0, then the series is convergentd)If {xn }n >1 is a convergent sequence, then is also a convergent sequenceCorrect answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Let {xn }n >1 be a sequence of positive real numbers. Which one of the following statements is always TRUE?a)If {xn }n >1 is a convergent sequence, then {xn }n >1 is monotoneb)If is a convergent sequence, then the sequence {xn }n >1 does not convergec)If the sequence converges to 0, then the series is convergentd)If {xn }n >1 is a convergent sequence, then is also a convergent sequenceCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let {xn }n >1 be a sequence of positive real numbers. Which one of the following statements is always TRUE?a)If {xn }n >1 is a convergent sequence, then {xn }n >1 is monotoneb)If is a convergent sequence, then the sequence {xn }n >1 does not convergec)If the sequence converges to 0, then the series is convergentd)If {xn }n >1 is a convergent sequence, then is also a convergent sequenceCorrect answer is option 'D'. Can you explain this answer?.
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