The extreme value of the function f(x1, x2,….. xn)=\(\frac{x_1}{2^0}+\frac{x_2}{2^1}+……+\frac{x_n}{2^{n-1}}\) With respect to the constraint Σmi=1 (xi)2 = 1 where m always stays lesser than n and as m,n tends to infinity is?

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Maxima and Minima topics include: Maxima and minima of variables, taylors theorem two variables, lagrange method to find maxima or minima. Maxima and minima are the largest and smallest values taken by a function. They are also known as extrema, which means "an extreme value" within a given range or domain of a function.  Maxima are points where a function reaches its highest value, while minima are points where it reaches its lowest value.  Local maxima/minima are relative extremes within a specific region, while global maxima/minima are the overall highest and lowest points across the... Show more

The extreme value of the function f(x<sub>1</sub>, x<sub>2</sub>,….. x<sub>n</sub>)=\(\frac{x_1}{2^0}+\frac{x_2}{2^1}+……+\frac{x_n}{2^{n-1}}\) With respect to the constraint Σ<sup>m</sup><sub>i=1</sub> (x<sub>i</sub>)<sup>2</sup> = 1 where <b>m</b> always stays lesser than <b>n</b> and as <b>m,n</b> tends to infinity is?