Question

So I just need some clarity on how to solve limits when a function is given !

Answer 1

First of all, you know what the little + and - in the corner (i.e., \(\rightarrow 3^{+}\)) mean, right?

Answer 2

I think so too.

Answer 3

I think that is the trick.

Answer 4

The idea is that you're not taking the value where x = 3, you're taking the value as x gets closer and closer to 3 without actually getting there.

Answer 5

Okay, for some reason the drawing you did isn't coming up :/

Answer 6

It's still not, I'm gonna try to switch browsers one sec

Answer 7

K it's coming up now

Answer 8

Ok good!

So what I was saying was, I think the trick here is that you don't use the one where x = 3 because, although substitution is a convenient way to evaluate many limits, you have to remember that the point of a limit is you do not actually reach the value given.

Answer 9

That's true, you just get close.

Answer 10

It's not really f(3) because limit. But yes.

Answer 11

So then how would I calculate it

Answer 12

?