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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.
Factorize x squared + 6x + 8
From the top of a 200 m lighthouse, the angle of depression to a ship in the ocean is 23 . How far is the ship form the base of the lighthouse?
John was doing his homework on vertical addition, and had to compute : 5 3+ 3 4 and 6 8 +45 He did the first one easily, just the way his teacher had taught him. He first ad
captial budgeting
For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equ
I am working for supermarket chain and responsible for the customer relationship management.The chain is planning to open exclusive thirst quenching service centers.These outlets w
what are the advantages and disadvantages of tchebycheffs inequality theorem
(18xy)5
Three payments of $2000 (originally due six months ago, today, and six months from now) have been renegotiated to two payments: $3000 one month from now and a second payment due in
Find out the roots of the subsequent pure quadratic equation: Find out the roots of the subsequent pure quadratic equation. 4x 2 - 100 = 0 Solution: Using Equation
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