Here we need the formula for the sum of the squares of the first n positive integers: 12 + 22 + 32 + + n? = n{n + 1)(2n + 1). Perhaps you have seen this formula before. Putting this formula into our expression for Rn, we get n(n + 1)(2n + 1) Rn = %3D Thus we have lim Rn lim n + 1 2n + 1 lim lim 1+ 2 + -1 2 D

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