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Integral Approximation and Nim Strategy

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** Please see the attached file for the complete solution response **

I need a little assistance with a couple of problems. Please include all the work with each problem. Thank you for your assistance.

Question 1:
Two players take turns removing 1, 2, 3, or 4 objects from a set of 16 identical objects (without replacing them.) The winner is the player who removes the last object. Find a winning strategy for one of the players (the one who plays first or second).

Question 2:
If a and b are both greater than -1, find the (please see the attached file).

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Solution Summary

In this solution, we solve two problems, one involving an optimal strategy on a variation of nim and one on approximating an infinite sum by an integral which is easily evaluated.

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** Please see the attachment for the complete solution response **

Question 1:
Two players take turns removing 1, 2, 3, or 4 objects from a set of 16 identical objects (without replacing them.) The winner is the player who removes the last object. Find a winning strategy for one of ...

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