Question

I saw this lim (x-->3+) x/(x-3)

What is that plus in front of 3?(x-->3+) Does it mean anything in specific?

Answer 1

Yes, it means that you're approaching 3 from the right side.

You're observing how it looks when get 3.1, 3.001, 3.0001...

If in case it was a minus sign, then you'd have had observed what it looks like in the case of 2.9, 2.99, 2.999...

Answer 2

But if you have no sign, then you are looking at BOTH the sides. I hope you're getting what I am trying to say.

Answer 3

so what do I have to do to solve this expression?

Answer 4

You can draw a table, maybe.
BTW, do you know about the l'Hopital's Rule?

Answer 5

No I dont know this rule

Answer 6

OK, so try drawing a table and see what is happening for x = 3.1, x = 3.01, x = 3.001 and so on.

Answer 7

can you give me an example please? This is the first time I am asked to draw a table

Answer 8

Well, what do you usually do to solve limits?

Answer 9

I replace x with the number, if its 0 or undefined I factor it and replace x with the number after factoring it

Answer 10

Here, there's no factoring possible. You gotta use the l'Hopital's Rule or draw a table. Let me draw the table for you.