7076. Useful factorization formula Calculate

Chapter 2, Problem 75

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7076. Useful factorization formula Calculate the following limits using the factorization formula xn - an = 1x - a21xn - 1 + xn - 2a + xn - 3a2 + g+ xan - 2 + an - 12, where n is a positive integer and a is a real number. lim xS1 23 x - 1 x - 1 (Hint: x - 1 = 123 x23-1123.)

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