Consider the collection of open sets, (-n,n) from n=1 to infinity in R with the usual metric d(x,y) = abs(x-y). Use this collection of open sets to show R is not compact (make sure to prove R = UneJ(-n,n) as part of your work.

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Q: what are domine, Vange and null space o F Tisra-s Ty Rom R?into Re 1

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Q: (C0]) }

A: The statement is false. Consider f:[0,1]→ℝ defined as f(x)=tan-1πx2   x∈[0,1)0              x=1

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A: Given y1=x1x2-x2x4y2=x12-x42y3=x1x2x3x4

Q: dont understand what you have done in at the beggining

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Q: Prove

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A: We will solve the following