Estas son las transparencias de mi repaso para el segundo examen parcial de Cálculo diferencial en el pizarrón electrónico.

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.