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

Statistics, what is meant by "measure of location"

what is meant by "measure of location"

Parametric equations and curves - polar coordinates, Parametric Equations a...

Parametric Equations and Curves Till to this point we have looked almost completely at functions in the form y = f (x) or x = h (y) and approximately all of the formulas that w

Find the radius of the inner circle, The area enclosed between two concentr...

The area enclosed between two concentric circles is 770cm 2 . If the radius of the outer circle is 21cm, find the radius of the inner circle. (Ans :14cm) Ans: Π R 2 - Π r 2 =

Standard form of a complex number, Standard form of a complex number So...

Standard form of a complex number So, let's start out with some of the basic definitions & terminology for complex numbers. The standard form of a complex number is

What is the square root of -i, To find sq root by the simple step... root (...

To find sq root by the simple step... root (-i)=a+ib............... and arg of -i= -pi/2 or 5pi/2

Find the polynomial zeros , If two zeros of the polynomial f(x) = x 4 - 6x...

If two zeros of the polynomial f(x) = x 4 - 6x 3 - 26x 2 + 138x - 35 are 2 ± √3.Find the other zeros.     (Ans:7, -5) Ans : Let the two zeros are 2 +√3 and 2 - √3 Sum of

The length of the rectangle, Suppose that the width of a rectangle is three...

Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 86 feet. a)  Set up an equation for the perimeter involving on

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