Solved: Proof Let {x1, x2, . . . , xn} be a set of real

Chapter 5, Problem 56

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Proof Let \(\left\{x_{1}, x_{2}, \ldots , x_{n}\right\}\) be a set of real numbers. Use the Cauchy-Schwarz Inequality to prove that

\(\left(x_{1}+x_{2}+\cdots+x_{n}\right)^{2} \leq n\left(x_{1}^{2}+x_{2}^{2}+\cdots+x_{n}^{2}\right)\).

Text Transcription:

{x_1, x_2, ...,  x_{n}\right\}\

(x_1 + x_2 + cdots + x_n)^2 leq n(x_1^2 + x_2^2 + cdots + x_n^2)

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