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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.
Erin is painting a bathroom along with four walls each measuring 8 ft through 5.5 ft. Ignoring the doors or windows, what is the area to be painted? The area of the room is the
A car buyer has a choice of three makes, five body styles, and six colors. How many different choices does the buyer have?
uses of maths concept
How do you solve a table to get the function rule?
solve for k such that the system 4x+ky=6 kx+y=-3
A parent shows his child four pencils. He places them in a row in front of her and says "one" as he points to the first pencil, "two" as he points to the second one, "three" as he
Apply depth-first-search to find out the spanning tree for the subsequent graph with vertex d as the starting vertex. Ans: Let us begin with node'd'. Mark d as vi
Find the relation between x and y when the point (x,y) lies on the straight line joining the points (2,-3) and (1,4) [ Hint: Use area of triangle is 0] Ans : Hint: If the poi
A baseball card was worth $5.00 in 1940. It doubled in value every decade. How much was it worth in 2000?
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