Recent content by tobinator250

Thanks a lot :)

I don't know if I've posted this in the right place but I thought I'd give it a go anyway. Homework Statement See Attatchment Homework Equations The Attempt at a Solution So for part a) max z:150X11+350X12+300X13+100X21+500X22+400X23 s.t. X11+X12+X13≤40...

Homework Statement Use Taylor's theorem to estimate |(ex)-x-1| for 0≤x≤1. Thus prove that if a>(1/2) then: f(x)=(1-|x|a)*(ex)a is differentiable at x=0 Homework Equations The Attempt at a Solution So |(ex)-x-1|=(x^2)/2+(x^3)/6+(x^4)/24... But I don't see how this helps, I...

Sorry just realized the bottom part of the limit is wrong as after you've differentiated once your going to have to use the product rule after that. Could you just use induction on the degree m then, and then use l'hospital's rule to prove it for n+1?

Oh ok, didn't think of using l'hospital's rule. So can you just say: Lim_{y->Inf} Q(y)/ey2 <=> lim_{y->inf} Q(m)(y)/((2y)m).ey2) <=> Lim_{y->inf} a(m).m!/((2y)m).ey2)=0 Is that right?

Homework Statement Q(y)=a0+a1y+...+amy^m is a polynomial of degree m and I need to show that: Lim{y->Inf} Q(y)/ey2=0 Homework Equations The Attempt at a Solution It seems obvious but I can't seem to be able to prove it, and don't really know where to start, any help...