Sequences and Series exercises text

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SUMMARY

The discussion focuses on the need for advanced resources in Calculus 2, specifically regarding sequences and series. The participant expresses frustration with the triviality of existing exercises and seeks recommendations for books that cover more complex series problems and comparison techniques. A specific book link, "Advanced Calculus" by Patrick M. Fitzpatrick, is provided as a potential resource for deeper learning.

PREREQUISITES
  • Understanding of basic calculus concepts, particularly sequences and series.
  • Familiarity with convergence and divergence of series.
  • Knowledge of comparison tests for series convergence.
  • Experience with mathematical problem-solving techniques.
NEXT STEPS
  • Research "Advanced Calculus" by Patrick M. Fitzpatrick for in-depth series problem-solving techniques.
  • Study various comparison tests for series convergence, including the Ratio Test and Root Test.
  • Explore online resources or courses focused on advanced sequences and series in calculus.
  • Practice solving non-trivial series problems from advanced calculus textbooks or online platforms.
USEFUL FOR

Students in Calculus 2, educators seeking advanced teaching materials, and anyone looking to enhance their understanding of sequences and series in mathematics.

medwatt
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Hello,
In Calculus 2, sequences and series are introduced and do I have to say that most of the examples are trivial and even the exercises are either trivial or those that require experience. I hope someone can suggest a book where one can learn solving not-so-obvious series problems that might be convoluted and also provide techniques how to compare series.
Thank You.
PS- I am sorry to be posting this in the wrong section but was unable to do so in the books section.
 
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