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

Parallelogram, fig angles of a irregular polygons exterior and interior .

fig angles of a irregular polygons exterior and interior .

Size of the penumbra, With reference to Fig. 1(a) show that the magnificati...

With reference to Fig. 1(a) show that the magnification of an object is given by M=SID/SOD. With reference to Fig. 1(b) show that the size of the penumbra (blur) f is given by f

Volume, a data set has a mean of 3, a median of 4, and a mode of 5.which nu...

a data set has a mean of 3, a median of 4, and a mode of 5.which number must be in the data set-3,4,5?

Determine the permutation, There are 6 contestants for the post of chairman...

There are 6 contestants for the post of chairman secretary and treasurer. These positions can be filled by any of the 6. Find the possible no. of ways whether the 3 positions may b

Geometry, what shapes can go into a triangular prism

what shapes can go into a triangular prism

Diffrentiation, y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx...

y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1) but f(sinx) = lnx implies f(x) = ln(arcsinx) hence f''(x) = (1/arcsinx) (1/ ( ( 1-x

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