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Let f(x)=e^x −x −1 be defined on (−∞,∞). Find a real number a so that a...

Let f(x)=e^x −x −1 be defined on (−∞,∞). Find a real number a so that a is a root of f,that is f(a)=0. Using the Mean Value Theorem, show that there is no other root of f, i.e., show that if there is a real number b so that f(b) = 0, then a = b.

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