This document appears to be a collection of math problems and questions about limits, functions, and physics. It includes questions about continuity, types of discontinuities, evaluating limits, finding velocity given a position function, evaluating expressions involving functions, and determining the truth of statements involving functions and limits. The document covers a wide range of topics but does not provide full context, answers, or explanations for any individual problem.

1. Second Partial Review.
Is f(x) continuous at the given point? Which condition fails? What type of
discontinuity is it?
, at x = 1.

2. Find the following limit.

3. Find the following limit.

4. Find the following limit.

5. True or False:
If a function is defined at x = a, then it is continuous at that point.

6. True or False:

7. True or False:

8. When a ball is dropped from a height of 256 feet, the distance it travels in t
2
seconds is given by s = 16 t .
Find the velocity at t = 2 seconds.

9. True or False:
If f(x) = x2 and g(x) = x -2, then f(x) - g(x) = x2 - x - 2.

10. Find the following limit.

11. Find the following limit.

12. Suppose that a ball is thrown straight upward so that its height
f(x) (in feet) is given by the equation
f(x) = 96 + 64x - 16x2,
where x is time (in seconds).
Find the instantaneous velocity at x = 1.