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# (LSE correlation) Proving that r lies between -1 and 1 watch

1. OK

so I am revising for my statistical theory exam and im my own lecture notes I seem to have put a ('might be in exam') question mark over this issue.

Economics first year btw.

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So is L'hopitals rule in order, thats my gut feeling... but how do I do it with sigmas?
2. Are you familiar with the Cauchy-Schwarz inequality? If you define two vectors A and B by and , then your fraction is exactly the same as the fraction , which has to lie between -1 and 1 since, by the Cauchy-Schwarz inequality, .

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