Find lim sup, Mathematics

Assignment Help:

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.


Related Discussions:- Find lim sup

Calculate the area of rectangle , Calculate the area of RECTANGLE ? Th...

Calculate the area of RECTANGLE ? The area of a rectangle is the amount of space taken up by a rectangle, which is a two-dimensional shape. You find the area (A) of a recta

Factor Fiction, Ok this is true or false wit a definition. The GCF of a pai...

Ok this is true or false wit a definition. The GCF of a pair of numbers can never be equal to one of the numbers.

Terminology related to division, Terminology related to division :   A goo...

Terminology related to division :   A good way to remedy this situation is to familiarise children with these concepts in concrete, contexts, to start with. For instance, if a chi

Callie grandmother pledged $0.50 for each mile callie walked, Callie's gran...

Callie's grandmother pledged $0.50 for each mile Callie walked in her walk-a-thon. Callie walked 9 miles. How much does her grandmother owe? Multiply the number of miles (9) th

Transportation problems vogel approximation method, if there is a tie betwe...

if there is a tie between two penalties then how to make allocations?

Solve 8 cos2 (1 - x ) + 13 cos(1 - x )- 5 = 0 trig function, Solve 8 cos 2 ...

Solve 8 cos 2 (1 - x ) + 13 cos(1 - x )- 5 = 0 . Solution Now, as specified prior to starting the instance this quadratic does not factor.  Though, that doesn't mean all i

Probability, an insurance salesman sells policies to 5 men, all of identica...

an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 20 years hence is 2/3.Find the p

Rates of change or instantaneous rate of change, Rates of Change or instant...

Rates of Change or instantaneous rate of change ; Now we need to look at is the rate of change problem.  It will turn out to be one of the most significant concepts . We will c

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd