Question

Analysis proof:
Suppose that f,g: D -> R with D (subset) R and a is an accumulation point of D. If lim x->a f(x) = L and lim x->a g(x) = +inf,
Show that lim x->a (f/g)(x) = 0

Answer 1

What I'm looking to end up at is \[\left| f(x)/g(x) \right|<\epsilon \]

Answer 2

I have: \[\left| f(x) - L \right| \le anything\] and \[g(x) \ge anything \] both of these statements are true for \[0 \le \left| x-a \right| \le \delta \]