#NinZZ# #(1/2)^(2n-1) < (1/2)^(n²-1)# Max(n) = ? a)1 b)2 c)3 d)4 e)5
2 Answers
Selection a)1
Explanation:
The equality point is:
Therefore, the inequality is true for
That leaves only selection a)1
Explanation:
Making
or
or
NOTE:
Strictly speaking if
1)
2)
but this fails because for any
In terms of sets, the maximum is the largest member of the set, while the supremum is the smallest upper bound of the set.