Lesson 45.

NOTE 1: Be sure to read Homework Format and Homework Writing Policy BEFORE writing up your solutions to be turned in.

Due Wednesday, December 3

Sect. 9.2:
Exercises 1*,  4*,  6*.

* Add the following to EACH of the assigned Exercises:
  1. Explain clearly your answer to Ex. 1, and prove your answers to Ex. 4 and Ex. 6.

  2. For Ex. 1 and Ex. 4, sketch a graph of   fn  for a large value of  n.

  3. In each case, sketch a graph of the limit function  f.

  4. Comment on the continuity and differentiability of the functions  fn  and  f  on their respective domains. (E.g., for Ex. 1, is each  fn  continuous on its domain? Is  f  continuous on its domain?)

  5. Comment on the integrability of the functions  fn  and  f  on the following intervals:
    • Ex. 1, on  [-2, 2].
    • Ex. 4, on  [0, 1].
    • Ex. 6, on  [-b, b]  for  0 < |b| < 1.

NOTE: As stated on the Course Home Page, all due dates are tentative. Assignments, or parts of assignments, may be postponed to a later date.


Last modified Nov 29, 2008

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