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- Thread starter jdinatale
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mathwonk

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Yes, I have access to the Weierstrass M-test. But that seems to deal with uniform convergence, and it doesn't quite seem to deal with differentiability or continuity. Unless I'm misunderstanding it.

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"If, on differentiating a convergent infinite series [itex] \sum_{v = 0}^{\infty} G_v(x) = F(x) [/itex] term by term, we obtain a uniformly convergent series of continuous terms [itex] \sum_{v = 0}^{\infty} g_v(x) = f(x) [/itex], then the sum of this last series is equal to the derivative of the sum of the first series"

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