Question

Second batch of limit problems. These don't have graphs but their constraints are confusing. Can someone help with these please? I need to see how to do the problems, not just answers.

Answer 1

1 limit is -1-5 = -6
2. (-1)62 + 1 = 2
3. Does not exit.
4. 2
5. -6

Answer 2

Problem #1:

We are approaching x = -1 from the left, and x is less than -1. Thus, use f1(x) = x - 5 instead of f2 or f3.

Just before x reaches -1, the value of f1(x) will be just a bit smaller than -1-5, that is, just a bit smaller than -6. Understanding that x can also equal -1, then the limit of f1(x) as x approaches -1 from the left is -6; it is defined.

Try the next problem. Share your work. I'd be happy to give you feedback on your efforts.