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Suppose X∞ n=0 cnxn converges when x = −4 and diverges when x = 6. State...

Suppose X∞ n=0 cnxn converges when x = −4 and diverges when x = 6. State if the following series are convergent or divergent, or if there is not information to determine convergence or divergence.

(a) X∞ n=0 cn3n

(b) X∞ n=0 cn5n

(c) X∞ n=0 cn7n

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