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Let()= (1/(x+1))-x (a) Explain why has at least one real root in [0, ) (b) Use the Mean Value Theorem to prove has exactly one

Let()= (1/(x+1))-x

(a) Explain why has at least one real root in [0, ) (b) Use the Mean Value Theorem to prove has exactly one real root in [0, ].

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