State whether the following are true or false.
1. There exists a field of order 60.
2. The number of abelian groups of order n is an increasing
function of n.
3. Any Lebesgue integrable function on [0,1] is Riemann integrable.
4. The function f : C ? C, f(z) = |z|3, is complex analytic at 0.
5. The function f : R ? R, f(x) = |x|3, is differentiable at 0.
6. Let p : R2 ? R be the map p(x, y) = x. Then p maps closed sets to closed sets.
7. R2 can be expressed as a countable union of straight lines.
8. x4 + 1 is irreducible over Q
.
9. Let f : C ? C be once differentiable everywhere. Then f has a power series expansion
around 0.
Hey frnds.I found these in a wbsite a few des bck.I cud manage to slv only a few.Hope u fnd it interstng.V'l discus d ans later on.
Rt it f u lyk it.
Oh! I frgot,can ny1 tl me abt the quality f CHALLENGER SERIES 4 IIT publshed by indiatimes.
Back to Community Shelf
No Nickels Awarded![[Post New]](/templates/default/images/icon_minipost_new.gif){kind=icon}
108
