Question: Calculate the following limits using the factorization formula x n - a n = (x - a)(x n-1 + x n-2 a + x n

Calculate the following limits using the factorization formula xⁿ - aⁿ = (x - a)(x^n-1 + x^n-2a + xⁿ^-3a² + ∙∙∙ + xa^n-2 + a^n-1), where n is a positive integer and a is a real number.

x' +1 lim x-1 x + 1

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