I have a graph of f(x) which I cant post here, but would like some help with concepts.

Question

lim f(x) = L
x->a

I already found the limit for different values of a.

Now I need to find the value of f(a) at each point.

So is f(a) = lim f(x)
x->a

So f(a) is just the same value of the limits values I have already found. Is that correct?

Thanks!

Answer 1

Hmmm, well what you are telling me is that the value of a function at x = a is the same as the limit of the value of the function as x--->a

That might usually be true, but what if the function has a different limit depending on which side you approach a from? I am thinking a step function for example