Recent content by Elvz2593

Saved my day, I can go to bed now.:zzz:

Homework Statement This is a problem I came up with when I was doing something similar in Spivak's Calculus; although a simpler version. Suppose, we have f(x)=x^3 and g(x)=x^2 find \lim_{x\rightarrow \infty} f(x)/g(x) Homework Equations N/A The Attempt at a Solution...

I see what you are saying now. So, the proposition would still hold as 1/n is approaching 0 as well.

I think it is probably the author's wording error, otherwise it would be proved false. Thank you so much for helping me out there. I like this place already.:biggrin:

1. Homework Statement Suppose that A_{n} is, for each natural number n, some finite set of numbers in [0,1], and that A_{n} and A_{m} have no members in common if m =/= n. Define f as follows: f(x)=\left\{\begin{array}{cc}1/n,&\mbox{ if } x \in A{n} \\0, & \mbox{ if }x Not In A_{n}...