Q.

The inequality n!>2n−1 is  true for

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a

n>2

b

n∈N

c

n > 3

d

None of these

answer is A.

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Detailed Solution

Let P(n)≡n!>2n−1 P(3)≡6>4Let P(k)≡k!>2k−1 is true. P(k+1)=(k+1)!=(k+1)k! >(k+1)2k−1 >2k ( as k+1>2)
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