Sunday, 17 July 2016

analysis - Give an example of a function f:[a,b]mathbbR that is continuous...


Give an example of a function f:[a,b]R that is continuous, and a sequence (f(xn)) converging to sup(f([a,b])), but for which (xn) does not converge.




I am having trouble coming up with an example, especially one that converges to sup. Any and all help appreciated. Thanks!

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