Recent content by real analyst

thanks a lot.

Homework Statement (ds/dy)=(y+2s)/(y-2s) Homework Equations The Attempt at a Solution I let V= s/y and this gave me *(ds/dy)=(1+2V)/(1-2V) Then because V= s/y I said s=Vy and (ds/dy)=V + y(dV/dy) Right so then my equation looked like V + y(dV/dy)=(1+2V)/(1-2V) and then...

ok, thanks man.

-2n?

Homework Statement Give an example of two monotonic sequences whose sum is not monotonic Homework Equations nonoe The Attempt at a Solution Well, I'm thinking is you just used n and -n, would that be a valid attempt at the question, or is that just the lazy way out...

Homework Statement I need to find three mathematical series, for the following patterns 1) Sn= 1/n if n is odd, or 1 of n is even. 2) Sn= 0,1,0,.5,1,0,1/3,2/3,0,1/4... 3) Find a sequence (Sk) which is a subset of the natural numbers in which every positive integer appears infinitely...

Homework Statement Prove by an example that the sum or product of two non convergent sequences can be convergent Homework Equations There are none, they can be any sequences I guess The Attempt at a Solution I've tried a lot of possibilities. My first guess would be a series...

yep, stupid mistake. thanks a lot!

Homework Statement What is the general solution to the following ODE F=X''m where F and m are both constants Homework Equations The Attempt at a Solution I got X=(k/2)t^2 + C I got this from F/M being just another constant K, and X'' being (d^2 X)/(dt^2) so you just...

Homework Statement Prove, for every L which is in the real number system, there exists a sequence (qn)which is a proper subset of the irrationals such that the limit as n approaches infinity of qn=L