Math 381                                                                                                    Name: KEY

Quiz 4 - Take Home (Due Monday, October 7, 2002)

Do your scratchwork on a separate piece of paper from your final proofs. If you want to hand in the scratchwork, staple it to the final product.

  1. Use statements 9.2 - 9.7 to prove that MATH   Make sure you justify each step by citing the appropriate statement.

    2. MATH
        MATH
        MATH
        MATH
          MATH
           
           
           
  2. Prove: If $\lim s_{n}=\infty $ and MATH then MATH (Hint: Let $N$ be chosen so that MATH and MATH for all $n>N.$)

    3. MATH

    MATH

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