- #1
NihalRi
- 134
- 12
Homework Statement
The question was to find the interval of convergence for a series.
Homework Equations
an+1/an
Finding the interval of convergence
- Thread starter NihalRi
- Start date
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- Tags
- Convergence Interval
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SUMMARY
The discussion focuses on determining the interval of convergence for a series using the ratio test, specifically the formula an+1/an. Participants emphasize the importance of correctly applying this test to identify the values of x for which the series converges. The conversation highlights common pitfalls in the calculation process and reinforces the necessity of checking endpoints after finding the interval.
PREREQUISITES- Understanding of series and sequences in calculus.
- Familiarity with the ratio test for convergence.
- Basic knowledge of limits and their properties.
- Ability to manipulate algebraic expressions involving series.
- Study the application of the ratio test in greater detail.
- Learn about the root test and its comparison with the ratio test.
- Explore examples of series with known intervals of convergence.
- Investigate the concept of absolute convergence and conditional convergence.
Students studying calculus, particularly those focusing on series convergence, as well as educators seeking to clarify the ratio test and its applications.
The question was to find the interval of convergence for a series.
an+1/an
- #2
Mark44
Mentor
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- 10,670
Do you have a question?NihalRi said:
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