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The sum of the series Sigma n=1 dask to infinity 1/(n-1)! is A. 0 B. 1 C. 0.003 D. Infinity?
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The sum of the series Sigma n=1 dask to infinity 1/(n-1)! is A. 0 B. 1...
Explanation:
Series Analysis:
- The given series is Sigma n=1 to infinity 1/(n-1)!
Convergence Test:
- To determine the sum of the series, we need to check if the series converges.
- Since the series involves factorials in the denominator, it is likely that the series converges.
Convergence of the Series:
- As n approaches infinity, 1/(n-1)! approaches 0.
- The terms of the series are decreasing and approaching 0 as n tends to infinity.
Sum of the Series:
- Since the terms of the series approach 0 as n tends to infinity, the sum of the series will also be 0.
Final Answer:
- Therefore, the sum of the series Sigma n=1 to infinity 1/(n-1)! is 0 (Option A).
Series Analysis:
- The given series is Sigma n=1 to infinity 1/(n-1)!
Convergence Test:
- To determine the sum of the series, we need to check if the series converges.
- Since the series involves factorials in the denominator, it is likely that the series converges.
Convergence of the Series:
- As n approaches infinity, 1/(n-1)! approaches 0.
- The terms of the series are decreasing and approaching 0 as n tends to infinity.
Sum of the Series:
- Since the terms of the series approach 0 as n tends to infinity, the sum of the series will also be 0.
Final Answer:
- Therefore, the sum of the series Sigma n=1 to infinity 1/(n-1)! is 0 (Option A).
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The sum of the series Sigma n=1 dask to infinity 1/(n-1)! is A. 0 B. 1 C. 0.003 D. Infinity?
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The sum of the series Sigma n=1 dask to infinity 1/(n-1)! is A. 0 B. 1 C. 0.003 D. Infinity? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of the series Sigma n=1 dask to infinity 1/(n-1)! is A. 0 B. 1 C. 0.003 D. Infinity? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the series Sigma n=1 dask to infinity 1/(n-1)! is A. 0 B. 1 C. 0.003 D. Infinity?.
The sum of the series Sigma n=1 dask to infinity 1/(n-1)! is A. 0 B. 1 C. 0.003 D. Infinity? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of the series Sigma n=1 dask to infinity 1/(n-1)! is A. 0 B. 1 C. 0.003 D. Infinity? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the series Sigma n=1 dask to infinity 1/(n-1)! is A. 0 B. 1 C. 0.003 D. Infinity?.
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