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Let ∑un be a series of positive terms and let , then which among the following does not express the condition for the Cauchy’s nth root test?
  • a)
     If l < 1, ∑un converges
  • b)
    If l > 1 , ∑un diverges
  • c)
    If l = 1, the test fails and the series may either converge or diverge
  • d)
    If l = 0, the series neither converges nor diverges
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Let ∑un be a series of positive terms and let,then which among the...
D is correct ans because l=0<1.so if the limit value is 0 then the series 
must converge
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Let ∑un be a series of positive terms and let,then which among the following doesnot express the condition for the Cauchy’s nth root test?a)If l< 1, ∑un convergesb)If l> 1 , ∑un divergesc)If l= 1, the test fails and the series may either converge or diverged)If l= 0, the series neither converges nor divergesCorrect answer is option 'D'. Can you explain this answer?
Question Description
Let ∑un be a series of positive terms and let,then which among the following doesnot express the condition for the Cauchy’s nth root test?a)If l< 1, ∑un convergesb)If l> 1 , ∑un divergesc)If l= 1, the test fails and the series may either converge or diverged)If l= 0, the series neither converges nor divergesCorrect 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 ∑un be a series of positive terms and let,then which among the following doesnot express the condition for the Cauchy’s nth root test?a)If l< 1, ∑un convergesb)If l> 1 , ∑un divergesc)If l= 1, the test fails and the series may either converge or diverged)If l= 0, the series neither converges nor divergesCorrect 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 ∑un be a series of positive terms and let,then which among the following doesnot express the condition for the Cauchy’s nth root test?a)If l< 1, ∑un convergesb)If l> 1 , ∑un divergesc)If l= 1, the test fails and the series may either converge or diverged)If l= 0, the series neither converges nor divergesCorrect answer is option 'D'. Can you explain this answer?.
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