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(a) Find a number x in the closed interval #, |such that the sum of the number and its reciprocal is as small as possible.

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(a) Find a number x in the closed interval #, |such that the sum of the number and its reciprocal is as small as possible. Enter the exact answer. X HI (b) Find a number x in the closed interval #, such that the sum of the number and its reciprocal is as large as possible. Enter the exact answer. X =

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