In Exercises 45–48, determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
45. If
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Chapter 11 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
- Give an example in which {an} ∞ n=1 and {bn} ∞ n=1 do not converge but {an + bn} ∞ n=1 converges.arrow_forward(b) Give an example to show that the product (fngn) may not converge uniformly.arrow_forwardSuppose that ∑ an converges absolutely. Prove that ∑ an2 converges. If we replace "converges absolutely" with "converges conditionally" does this still remain true? If yes, give a proof, if no, find a counterexample.arrow_forward
- EXERCISE 6. Determine if the sequence converges or diverges.Briefly justify!arrow_forwardI need help whith a homework problem, the math lab at my school is closed. For number 15, why does part a converge? I understand the part b, but do not understand anything about part a converging. Please help.arrow_forwardoptions for a are converges or divergesoptions for b are 1, 2, 3, 4, or 5options for c are -1/3, 0, 3, 1, -1arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage