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Derivativeshard
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A function fff is defined by f(x)=lim⁡n→∞xn+1xn−1f(x) = \lim_{n \to \infty} \frac{x^n + 1}{x^n - 1}f(x)=limn→∞​xn−1xn+1​. Find the derivative of f(x)f(x)f(x) for ∣x∣>1|x| > 1∣x∣>1.