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Which one of the following is true?...

Which one of the following is true?

A

`(1 + 1/n)^(n) lt n^(2)`,`n` is a positive integer

B

`(1 + 1/n)^(n) lt 2`,`n` is a positive integer

C

`(1 + 1/n)^(n) lt n^(3)`,`n` is a positive integer

D

`(1 + 1/n)^(n) gt 2`,`n` is a positive integer

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The correct Answer is:
D
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NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
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  2. If (1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...... + a^(n)x^(n), then the ...

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  3. Which one of the following is true?

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  4. When 2^(1505) is divided by 9, the remainder is

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  5. The term independent of x in the expansion of (x + 1/x^())^(6) is

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  6. The sum of coefficitents in the expansion of (1 + 3x -3x^(2))^(1143) i...

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  7. The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal t...

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  8. Let t(n) denote the n^(th) term in a binomial expansion. If t(6)/t(5) ...

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  9. The middle term in the expansion of (10/x + x/10)^(10) is

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  10. The coefficient of x^(49) in the product (x - 1) (x - 2) (x - 3) ........

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  11. The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6...

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  12. The value of ""^(2)P(1) + ^(3)P(1) + ...... + ^(n)P(1) equal to

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  13. The positive integer just greater than (1 + .0001)^(10000) is

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  14. r and n are positive integers r gt 1,n gt 2 and coefficient of (r + 2)...

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  15. The coefficients of x^(p) and x^(q) in the expansion of (1 + x)^(p + q...

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  16. If the sum of the coefficients in the expansion of (a + b)^(n) is 4096...

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  17. If x is positive, the first negative term in the expansion of (1 + x)^...

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  18. The number of integral terms in the expansion of (sqrt(3) + root8(5))^...

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  19. The coefficient of the middle term in the binomial expansion in powers...

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  20. The coefficient of x^(n) in expansion of (1 + x)(1 - x)^(n) is

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