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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.
Activity This activity will help you recognize the importance of some very famous numbers, as well as learn more about approximations. Directions Using the Internet, provi
vwertical and horizontal
Sketch the graph of the below function. f ( x ) = - x 5 + (5/2 )x 4 + (40/3) x 3 + 5 Solution : Whenever we sketch a graph it's good to have a few points on the graph to
project
DIFFERENCE BETWEEN RIGHT ANGLE AND SCALENE
The winning team''s score in 21 high school basketball games was recorded. If the sample mean is 54.3 points and the sample standard deviation is 11.0 points, find the 90% confiden
GUESS THE NUMBER THAT WHEN YOU SUBTRACT 6 AND THEN SUBTRACT 0 IS-14
show that, sin 90 degree = 2 cos 45 degree sin 45 degree
In this case, the first point we have to remember is that we do not get a single value when we add two or more terms which are unlike in nature. This certainly ob
Denote the subsequent statement in predicate calculus: "Everybody respects all the selfless leaders". Ans: For each X, if every Y that is a person respects X, then X is a selfl
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