Question

Question....limits graph

Answer 1

@ankit042

Answer 2

yes. it is -1

(lim->3-) is limit as it approaches 3 from the left

Answer 3

I think you can proceed the same way as we did for the last question. Here we want to solve x->3-

Answer 4

look at the graph, as "x" goes to \(3^-\) from the LEFT, where does it approach?

Answer 5

so it is -1 O_O?

Answer 6

well, you see, as "x" approaches to 3 FROM THE LEFT, that is \(3^-\)
"y" is going downwards, goes to 4, 3, 2, 1,
now, when x = 3, y is NOT -1

but the limit doesn't concern if it's exactly -1 or not, just where is it ever approaching to


so as "x" approaches ever closer and closer to "3" FROM THE LEFT, "y" approaches closer and closer to -1, it will never reach it by the way, but limit is just where's going
as you can see in the graph
when x = 3, y = 7

Answer 7

the limit is only concerned where is approaching to, whether it may reach it or not, is not relevant for limits

Answer 8

im sorry i did not understand any of that :(