Mathegoras

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Positive integers giving a hole

High school · ●●○○○ 20 pts

Find the number of positive integers nn for which the graph of y=(x+3)(x−7)5(x−1)(x−7)ny = \frac{(x + 3)(x - 7)^5}{(x - 1)(x - 7)^n} has a hole at x=7x = 7.

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