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MTH631 Real Analysis II Assignment 2 Solution & Discussion Fall 2019
Assignment # 02 MTH631 (Fall 2019)
Maximum Marks: 20 Due Date: 20 -01-2020
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Q1. Use Bolzano-Weierstrass theorem to show that ifis an infinite sequence of nonempty compact setsand thenis nonempty. Show that the conclusion does not follow if the sets are assumed to be closed rather than compact.
Q2. Letwhen (x,y)≠(0,0) and f(x,y)=0 when (x,y)=(0,0). Determinef(x,y)Is function continuous at the origin?
MTH631 Assignment No 02 Solution Fall 2019