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4. Consider the function ?(?) = ? + 1 ? − 2 Defined for ? >...

4. Consider the function

?(?) = ? + 1 ? − 2

Defined for ? > 0. First, show that this function has one global minimum at ? = 1.

Then, take the Taylor series expansion about the point ? = 1, writing ? = 1 + ?. Compute the terms out to ? 3 .

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