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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.
a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k
what is prime factorization of 200
if Sn =3n²+n, find the A.P.
Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers
Q. Explain Set Intersection? Ans. Set Intersection Suppose your school needs to know which students are taking both art and business this year. If A is the set of studen
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Brent covered 3 1/5 by a number and got 4 1/2 what number dis he divide by? The answer is either 1 9/16, or 32/45. Which one is the answer, and how did you get it?
A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 5% discount on the list price.If a customer paid Rs 114 for an article,what profit is m
What is a truth table? Distinguish between Tautology & Contradiction?
If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex. [Ans: 3/2 , 3/√ 3/2 or 3/2, -3√ 3/2] Ans: OA = OB = AB OA 2 = OB 2 = AB 2
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