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 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}...