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The series 
is-
is-- a)Convergent
- b)Divergent
- c)Oscillatory
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The seriesis-a)Convergentb)Divergentc)Oscillatoryd)None of theseCorrec...
Concept:
If the given is infinite series, find the partial sum (i.e. sum of first nth term )
If the sequence of partial sums is a convergent sequence (i.e. its limit exists and is finite) then the series is also called convergent
Calculations:
Consider the given series is
The nth term of the series is an =
Given is infinite series, find the partial sum (i.e. sum of first nth term)
If the sequence of partial sums is a convergent sequence (i.e. its limit exists and is finite) then the series is also called convergent
⇒ limn → ∞an = 0, limit exists and is finite
The series
is convergent.
If the given is infinite series, find the partial sum (i.e. sum of first nth term )
If the sequence of partial sums is a convergent sequence (i.e. its limit exists and is finite) then the series is also called convergent
Calculations:
Consider the given series is
The nth term of the series is an =
Given is infinite series, find the partial sum (i.e. sum of first nth term)
If the sequence of partial sums is a convergent sequence (i.e. its limit exists and is finite) then the series is also called convergent
⇒ limn → ∞an = 0, limit exists and is finite
The series
is convergent.
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The seriesis-a)Convergentb)Divergentc)Oscillatoryd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The seriesis-a)Convergentb)Divergentc)Oscillatoryd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The seriesis-a)Convergentb)Divergentc)Oscillatoryd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
The seriesis-a)Convergentb)Divergentc)Oscillatoryd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The seriesis-a)Convergentb)Divergentc)Oscillatoryd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The seriesis-a)Convergentb)Divergentc)Oscillatoryd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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