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1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 and S={x in R^3:(x1)^2+(x2)^2+(x3)^2<(r)^2} show that diam S=2r.4.let x=(x1,...xn) in Rn.show that (? k=1,n xk)^2<=n|x|^2.
Time Series and Analysis It is the statistical or mathematical analysis on past data arranged in a periodic sequence. Decision making and planning in an organization includes
How many arrangements can be made from the letters of the word " VENUS " such that the order of the vowels remains the same?
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If 3200 sweets cost 30 US Dollars how much will 13,500 sweets cost ?
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a-1/a =8 find
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