2) Let X be normed space and xo + 0 be an element of X. Then using Hahn-Banach Theorem (Normed Space) show that there if a linear functional f on X such that 1 f(x0) = 1. ||xo|l'

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Please see the below picture for detailed solution.

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A:

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A:

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A:

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A: Consider the function f:R->R defined by:

Q: show that L^1(R) a Banach algebra Commutative

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A:

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Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: