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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
I dont understand the union part
Then F, = [1, 2]. F,2. F,2 Since every closed interval is a closed set, therefore {F : n e N} is a family of infinite N of closed sets. We observe that F, uF = [1, 2] F,uFuF222 and so on. Indeed, U F = ]0, 2], which is not a closed set. n = 1
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Shashi ranjan sinha![best-answer]()
Try to figure out these intervals on the number line...or u can simply observe that [1,2] is properly contained in [1/2,2].... so if u take their union , you will get [1/2,2].... in the similar fashion u can proceed for others
But there while taking union getting [1/2,2]
sorry....I mistaken....[1,2] is properly contained in [1/2,2].... so if u take their union , you will get [1/2,2].
let me update my answer by correcting the needful