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Chapter 7: Q. 6 (page 591)
Give a recursive definition for K! for integers k 鈮� 0. Be sure you define 0! as part of your answer.
The recursive formula is given by
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Use either the divergence test or the integral test to determine whether the series in Exercises 32鈥�43 converge or diverge. Explain why the series meets the hypotheses of the test you select.
37.
Provide a more general statement of the integral test in which the function f is continuous and eventually positive, and decreasing. Explain why your statement is valid.
Improper Integrals: Determine whether the following improper integrals converge or diverge.
In Exercises 48鈥�51 find all values of p so that the series converges.
Whenever a certain ball is dropped, it always rebounds to a height p% (0 < p < 100) of its original position. What is the total distance the ball travels before coming to rest when it is dropped from a height of h meters?
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