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Chapter 7: Sequences and Series

Expert-verified
Calculus
Pages: 577 - 658
Calculus

Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Illustration

647 Questions for Chapter 7: Sequences and Series

  1. True/False: Determine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counterexample.

    Found on Page 591

  2. A strictly increasing sequence of partial sums: if \[ a_k > 0\] for \[k \;\epsilon\; \mathbb{Z}^{+}\]

    Found on Page 651

  3. Examples: Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading.

    Found on Page 652

  4. A bounded sequence of partial sums: If the series \[\sum_{k=1}^{\infty}a_{k}\] converges, explain why the sequence of partial sums is bounded.

    Found on Page 651

  5. Find the values of p that make the series converge absolutely, the values that make the series converge conditionally, and the values that make the series diverge. \[\sum_{k=0}^{\infty}(-1)^{k}k^{p}e^{-k^{2}}\]

    Found on Page 653

  6. ddd

    Found on Page 593

  7. 1. True/False: Determine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counterexample.

    Found on Page 652

  8. Functions: Provide definitions for each of the following:

    Found on Page 591

  9. Read the section and make your own summary of the material.

    Found on Page 614

  10. add ques.

    Found on Page 591

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