Question

Find the indicated limit, if it exists.

Answer 1

Please help! I don't know where to even start.

Answer 2

I've tried to answer it three times and have gotten different answers each time. 8, 18, and 2.

Answer 3

I don't know which one is right.

Answer 4

Let's look at this graphically: for x < 8, we have y = 10+x, which is a line of slope 1, translated up 10 units:

For x >= 8, we have y = 10-x, which is a line of slope -1, translated up 10 units


Are those lines anywhere close to intersecting at x = 8?