Hint for Problem 1: the answer is Here are 3 more problems: Problem 2: Evaluate Problem 3: Evaluate , where are given constants. Problem 4: For any real number define to be the number of elements of the set Find
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Originally Posted by NonCommAlg Problem 4: For any real number define to be the number of elements of the set Find This hardly needs a thought: RonL
Originally Posted by CaptainBlack This hardly needs a thought: RonL the answer is correct but the problem is not trivial at all!
Which book are you using? Is the the AoPs volume 1 and volume 2?
Originally Posted by NonCommAlg the answer is correct but the problem is not trivial at all! But it is, it is equivalent to the definition of area as the limit of the sum of the area of the squares of a regular rectangular partition of the circle. RonL
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