Question

Limit of x/(x-3) as x approaches 3 from the right.
Can someone explain how I would get pos infinity using logic instead of a graph?

Answer 1

you will end up with 3/0 if you plug in 3
lets think about that
3/.0001 is a big number
3/.000000001 is a bigger number
3/.000000000000000000000000000000000000000000000000000000000000001
is HUGE!
so 3/0 is infinity

Answer 2

OOOH thank you so unbelievably much! That's exactly what I was looking for! :D

Answer 3

:) np

Answer 4

notice that I was looking at .0001, .000000000001, .0000000000000000001
and not negative numbers, thats because if we are coming from the right as the question asked we will get 3.000000001-3 on the bottom, so we have the positive .0000000001
now if we would have looked at the left side of 3 we would have something like
2.9999999999999999999999999999-3 on the bottom, and then we would have had a -.0000000000000000000000001 and thus we would go to -infinity

Answer 5

I hope this makes sense still:0

Answer 6

I see. Yes, this is very similar to what my math teacher tried to tell us... I guess I just needed to hear it again before I understood it. :) again, thanks so much.

Answer 7

np