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# DiffCalcSecondPartialReview

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### DiffCalcSecondPartialReview

1. 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. 2. Find the following limit.
3. 3. Find the following limit.
4. 4. Find the following limit.
5. 5. True or False: If a function is deﬁned at x = a, then it is continuous at that point.
6. 6. True or False:
7. 7. True or False:
8. 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. 9. True or False: If f(x) = x2 and g(x) = x -2, then f(x) - g(x) = x2 - x - 2.
10. 10. Find the following limit.
11. 11. Find the following limit.
12. 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.