It works wonderfully and makes it two simple steps. Thanks.
Though I'm inclined to ask; is this something that can always be done, correlating epsilon with the actual limit?
Homework Statement
Demonstrate Analytically:
If \lim_{x\to a}f(x)=L and L<0, there exists a δ>0 so that x\inDom(f), 0<|x-a|<δ \Rightarrow f(x)<0
2. The attempt at a solution
I start identifying what I want to demonstrate and what are my assumptions.
x\inDom(f), 0<|x-a|<δ \Rightarrow f(x)<0
I'm...