A) 1
B) 2
C) 3
D) 4
Correct Answer: B
Solution :
For\[n=1\], \[1!<{{(1)}^{1}}\] that is,\[1<1\]is not true. For\[n=2\], \[2!<{{\left( \frac{3}{2} \right)}^{1}}\] that is,\[2<\frac{9}{4}\]is true, By induction,\[n!<{{\left( \frac{n+1}{2} \right)}^{n}}\forall n\in N\]for\[n>2\] \[\therefore \]least\[n=2\].You need to login to perform this action.
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