redheadangel
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PLEASE help me with factorials and exponents. my work is in blue, how are they are all equal? I don't understand how the answer is: (n!)^n! ≥ (n!)^n ≥ n^n

PLEASE help me with factorials and exponents my work is in blue how are they are all equal I dont understand how the answer is nn nn nn class=

Respuesta :

By choosing n = 2 you were able to show that they were the "equal to" part of the inequality.
2! = 1 × 2 = 2 

Try using n = 3
[tex] (n!)^{(n!)} =(3!)^{(3!)}=6^{6}=46656[/tex]
[tex](n!)^{n}=(3!)^{3}=6^{3}=216[/tex]
[tex]n^{n}=3^{3}=27[/tex]

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