Question

Need help with one-sided limits.

Answer 1

Would the limit be 7?

Answer 2

Sure. So, you see you need to find the limit as x approaches 3-.
This means, as you approach x value 3 from the LEFT, what y value would you reach?

Answer 3

No, not 7. That's a point at x = 3, but the limit is a different concept. ;-; It can be confusing at first.

Answer 4

I see. So am I looking for where the line coming from the left crosses the y-axis?

Answer 5

No, not necessarily where it crosses the y axis, but what y-value does the limit approach as x also approaches 3, from the left.

Answer 6

Along the given function.

Answer 7

Would it be one?

Answer 8

Mhm. c:
http://prntscr.com/3pvw1z
The limit as x approaches 3 from the left will be 1.

Answer 9

The thing about limits is that the point doesn't have to exist, we're just concerned with the behavior very close to the point. It's more easy to determine something like that if you had a graph.

Answer 10

Awesome! So the limit is just one?

Answer 11

Mhm, from the left side at least ;-;

Answer 12

THANKS!