How do you prove limit of #14-5x=4# as #x->2# using the precise definition of a limit?
Algebraically, this makes sense; yet we want to prove this using the precise definition of a limit.
Since the general formula looks like:
This implies that:
This means that as we pick an interval on the x-axis that is close to
So, if we plug in the values we know:
We want to manipulate
so that it can represent
Now they look similar and we can see that
This gives us a ratio for when you're given a distance from
So, lets choose
That concludes our proof.