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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.
Proof of: lim q →0 sin q / q = 1 This proofs of given limit uses the Squeeze Theorem. Though, getting things set up to utilize the Squeeze Theorem can be a somewha
If the point (a,2a) is an interior point of the region bounded by the parabola y2=16x and the double ordinate through the focus then a belongs to
A publishing company is creating a book jacket for a newly published textbook. Determine the area of the book jacket, given that the front cover is 8 in wide by 11 in high, the bin
the length of three pieces of ropes are 140cm,150cm and 200cm.what is the greatest possible length to measure the given pieces of a rope?
4x+8=32
which one of the following examples represents a repeating decimal? 0.123123,1.111114,0.777777,4.252525?
what are your 9 times tables
do you have 3 digit and 4 digit number problem
What is Chain Based Index Numbers? A chain based index is one whereas the index is calculated every year by using the previous year as the base year. This kind of index measur
Audrey measured the width of her dining room in inches. It is 150 inches. How many feet huge is her dining room? There are 12 inches in a foot. Divide 150 by 12 to find out the
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