Is all numerical suite (U_n) of positif integers (n >= 0) with :

1- (Un > 0 for all n Î ( belongs to ) N " Set of positif integers ").

2- (Lim U_n = 0) when (n --> + ∞ " the infinity").

always monotonous ( i .e. decrescent)?

                        YES           NO

In all cases, if you seek to know the solution, here it is :

The solution

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