Question: Get the answer of the given below question Max Marks: 10 Note: All Questions are compulsory. Each question carries equal marks. 1. Define nighbourhood of

Get the answer of the given below question

Max Marks: 10 Note: All Questions are compulsory. Each question carries equal marks. 1. Define nighbourhood of a point of R. Show that the intersection of two neighbourhoods of a point of R is again a neighbourhood of the same point. What happens to the conclusions of the statement if arbitrary collection of neighbourhoods is taken

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