Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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.