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Let the area bounded in the first quadrant by [x]+[y]≤n, where n∈R is denoted by A(n). The value of A(n)−A(n−1)−n is equal to (Where [.] is greatest interger function)

Answer» Let the area bounded in the first quadrant by [x]+[y]n, where nR is denoted by A(n). The value of A(n)A(n1)n is equal to
(Where [.] is greatest interger function)


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