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3. (10 points) Show all of your work in this problem. Consider the infinite series E k - 1 2k +1 k=3 (a) Write down

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3. (10 points) Show all of your work in this problem. Consider the infinite series E k - 1 2k +1 k=3 (a) Write down the first three terms of this series. (b) Find the first three terms in the sequence of partial sums of this series. In parts (a) and (b), write your answers as reduced fractions. 4. (10 points) Find the limit of the following sequences or show why they diverge. (a) In(n2) - 4n + 3n 3n3 + 2n+9 (b) 6n - 4n3

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