Trouble using graph to evaluate values

[avanm]

Hi! I have a graph with lots of sub questions and one of them is lim_x->2⁺ f(4-x). I have no idea what to do here. Do I find what lim_x->2⁺ f(x) then do the transformation associated to it? I dont know where to start. If someone could offer me a place to start or if my idea of what to do is correct.

Ive attached the graph too

 

[tkhunny]

4 - 3 = 1
4 - 2.5 = 1.5
4 - 2.1 = 1.9
4 - 2.0001 = 1.9999

Where and from which direction are you approaching?

 

[avanm]

OHHHH I see 2!

 

[tkhunny]

OHHHH I see 2!

2 from the low side. Remember, it's a limit, not simply an evaluation AT a point.

 

[avanm]

2 from the low side. Remember, it's a limit, nut simply an evaluation AT a point.

I’m not understanding, so it’s not 2 from the positive side?

 

[Steven G]

Yes, it is 2⁺, but when you subtract a little more than 2 from 4 you get a little less than 2! If you have exactly $4 in your bank and then you withdraw a little more than $2, say $2.03 then your balance will be $1.97-- a little less than 2. Tricky stuff, right?

 

[avanm]

Yes, it is 2⁺, but when you subtract a little more than 2 from 4 you get a little less than 2! If you have exactly $4 in your bank and then you withdraw a little more than $2, say $2.03 then your balance will be $1.97-- a little less than 2. Tricky stuff, right?

Oh okay yes, I understand! Thank you!