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Problem 3. (10 points) Use series to evaluate lim 1+x+5x+13+ 1x I-+0 Problem 4. (15 points) Find the second-order Taylor polynomial p2(r) centered at a

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Problem 3. (10 points) Use series to evaluate lim 1+x+5x+13+ 1x I-+0 Problem 4. (15 points) Find the second-order Taylor polynomial p2(r) centered at a = 0 for f(x) = v1 + r. Use the polynomial to approximate v1.04. Problem 5. (20 points) Find the interval of convergence for the following series E (-1)(2 = 2)" n . 57 n=1

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