How do I take this limit? Limit as x approaches 1 of $\displaystyle \frac{x^p - 1}{x^q - 1}$
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Originally Posted by looseenz2 How do I take this limit? Limit as x approaches 1 of $\displaystyle \frac{x^p - 1}{x^q - 1}$ Are p and q meant to be positive integers? Then use the fact that $\displaystyle x^n - 1 = (x - 1)(1 + x + x^2 + ..... + x^{n-1})$. Alternatively, it's an obvious candidate for applying l'Hospital's Rule.
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