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I am trying to teach myself about the best mean square approximation of a function. I can't seem to find much informtion on internet.

Could someone help me go through the best mean square approximation of a function $f= \dfrac{1}{x+2}$. It would be easier to understand it through this (r any other example.

Sylvester Stallone
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    The best mean square approximation usually applies to fitting a certain type of curve (often a straight line), with some unknown parameters, to a set of given data points. Your question makes no sense from this point of view. Where is your data? What kind of function e.g. $f(x) = \frac{1}{ax+b}$ do you want to fit? – Paul Nov 16 '17 at 16:56
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    Another notion of best fit is to approximate a given function as a projection onto a subspace of functions generated by a linear combination of other functions. Again, your question makes no sense in this context either. – Paul Nov 16 '17 at 16:59

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