1. False. The left hand side is 2, the right hand side does not exist.

2. False. The left hand side is 8/7, the right hand side is undefined.

3. True. Limit law 5.

4. True. The quantity f(x)/g(x) increases to infinity as x goes to 5.

5. False. Example: f(x) = 2x - 10, g(x) = x - 5.

6. False. The limits ignore what happens at 6. We can define f(6) and g(6) to be anything at all without changing the value of the limit.

7. True. Limit law 12.

8. False. Example: f(x) = 1 + (1/(x^2)) and g(x) = 1/(x^2).

9. False. f can be anything at 1 and still have an asymptote there.

10. False. Continuity is needed.

11. True. Theorem 8, p. 107.

12. True. Intermediate Value Theorem.

13. True. Definition of limit. (We skipped this section.)

14. False. Example: f(x) = (x^2 + x^4)/(x^2). The limit at 0 is equal to 1. (Note that 0 is not in the domain.)