Do the terms of the M-series in Weierstrass M-test have to be the same constants? Or can the $M_n$s be anything?
2025-01-13 02:31:12.1736735472
Weierstrass M-test: Do the terms of the M-series have to be the same constants?
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No, the numbers $ M_n $ are allowed to be different. (In fact, if they were all the same positive number, the condition $\sum M_n < \infty $ would not be satisfied.)