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

Polynomials, sum of zero of polynomial x2-2x+1is equal to sum of zero of po...

sum of zero of polynomial x2-2x+1is equal to sum of zero of polynomial x3-2x+x then find the product of all the three zero of the second polynomial

How much area will it irrigate in 30 minutes , Water in a canal 30 dm wide ...

Water in a canal 30 dm wide and 12 dm deep is flowing with a velocity of 10 km/h. How much area will it irrigate in 30 minutes if 8 cm of standing water is required for irrigation?

Find the common difference & write the next 3 terms, If the following terms...

If the following terms form a AP. Find the common difference & write the next 3 terms3, 3+ √2, 3+2√2, 3+3√2.......... Ans:    d= √2 next three terms 3 + 4 √ 2 , 3 + 5√ 2 ,

Evaluate the rational exponents, Evaluate each of the following.  (a) 2...

Evaluate each of the following.  (a) 25 1/2  (b) 32 1/5 Solution  (a) 25 1/2 Thus, here is what we are asking in this problem.                             2

The perimeter of a rectangle is 104 inches find out width, The perimeter of...

The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find out the width of the rectangle. Let l = the length of the rectangle and let

Matrix, matrix of [1 4 ] [a b]=4/9

matrix of [1 4 ] [a b]=4/9

Theory of quadratic equations.., solve the following simultaneous equations...

solve the following simultaneous equations x+y=a+b ; a/x_b/y

What was the us''s policy towards latin america, What was the US's policy t...

What was the US's policy towards Latin America during the 20th century? What were the motives behind this policy? Give one example of the US executing this policy?

the comic book, a) The first comic book is of shakitman was sold in 1938. ...

a) The first comic book is of shakitman was sold in 1938. In 2010, the estimated price for this comic book in good condition was about $500,000. This represented a return of 25 per

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