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Let P(n):2^n<(1xx2xx3xxxxn) . Then the s...

Let `P(n):2^n<(1xx2xx3xxxxn)` . Then the smallest positive integer for which `P` `(n)` is true is `1` b. `2` c. `3` d. `4`

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Let P(n): n^(2)-n+41 is a prime number, then

    A
    P(1) is not true
    B
    P(5) is not true
    C
    P(g) is not true
    D
    P(41) is not true

  • Let P(n):n^2+n+1(n in N) is an even integer. Therefore, P(n) is true.

    A
    for `n gt 1`
    B
    for all n
    C
    for `n gt 2`
    D
    None of these

  • Let P(n):n^2 lt 2^n . The smallest positive integer n for which P(n) is true, is

    A
    2
    B
    5
    C
    3
    D
    -1

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