# Theory and ExamplesSchwarz’s inequalitya. In Exercise 33,

## Problem 34AAE Chapter 4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 34AAE

Theory and Examples

Schwarz’s inequality

a. In Exercise 33, let and deduce Schwarz’s inequality:

b. Show that equality holds in Schwarz’s inequality only if there exists a real number x that makes equal  for every value of i from 1 to n.

Reference: Exercise 33

Given By considering the minimum, prove that for all real x if and only if

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Theory and ExamplesSchwarz’s inequalitya. In Exercise 33,

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