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Exam 1 -- Math 21 (Scott), Winter 2007

No calculators, notes, or books. Be sure to show your work.

part 1

subpart A

Paragraph II

• Evaluate the limits

Theorem

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Proof

• Find a formula for the

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  th partial sum

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  for the series

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and determine the sum.

• For each of the following, determine if the series converges or

  • diverges. Determine the sum whenever possible. Justify your answers.

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• Determine whether the series

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converges absolutely, conditionally, neither, or both.