- #1
pantin
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Let L_i denote the line segment in R^2 between the points (-1/i, 1/i) and (1/i, 1/i) with i=1,2,3...
Is the union S=U_(i=1 to infinite)L_i compact? Justify.
after I drew the graph, I just noticed that this set is not closed, because all the start points and end points of those segment are not included, so why need to prove?
Is the union S=U_(i=1 to infinite)L_i compact? Justify.
after I drew the graph, I just noticed that this set is not closed, because all the start points and end points of those segment are not included, so why need to prove?