(10pts) Approximate sin(/7) within an error of at most 105. That is, find a rational...

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(10pts) Approximate sin(/7) within an error of at most 105. That is, find a rational number L such that sin(/7)L105. Justify your calculation. (Hint: After finding a suitable auxiliary function, you may want to follow the strategy of Problem 4 of the midterm)

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