Let pm be a sequence of strictly positive prices converging to p¯, and let a consumer’s endowment
vector be e. Show that the sequence {pm · e} of the consumer’s income is bounded. Indeed, show
more generally that if a sequence of real numbers converges, then it must be bounded.

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03-06-2024
Business

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Let pm be a sequence of strictly positive prices converging to p¯, and let a consumer’s endowment
vector be e. Show that the sequence {pm · e} of the consumer’s income is bounded. Indeed, show
more generally that if a sequence of real numbers converges, then it must be bounded.

Sagot :

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