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Mathematical analysis: Does the function in Cauchy integral discriminant necessarily decrease monotonically, and can it increase monotonically?
Cauchy integral discriminant method is aimed at positive series. If the general term of positive series increases, will the general term limit be zero?

If it is not reduced, it will not work. This medicine makes clear the principle of Cauchy discriminant method. In the final analysis, Cauchy integral discriminant method is the area principle. Take a good understanding here. (There is one in Shi Jihuai's mathematical analysis course)