A) for all\[n\in N\]
B) for all\[n>1\]
C) for all\[n>2\]
D) None of the above
Correct Answer: C
Solution :
Given inequation is \[n!\,\,>{{2}^{n-1}}\] For \[n=1,\,\,2\] \[1!1\] \[\Rightarrow \] \[11\] and \[2!{{2}^{1}}\Rightarrow 22\] For \[n=3\] \[3!>{{2}^{2}}\] \[\Rightarrow \] \[6>4\] Hence, it is true for\[n>2\].
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