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Find the positive integer just greater t...

Find the positive integer just greater than `(1+0. 0001)^(10000)dot`

A

2

B

3

C

4

D

5

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

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  2. Let a(r) denote the coefficient of x^(r) in the expansion of ( 1 + x)^...

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  3. Find the positive integer just greater than (1+0. 0001)^(10000)dot

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  4. If r, n in N r > 1, n > 2 and the coefficient of (r +2)th term and (3r...

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  5. The number of integral terms in the expansion of (3^(1//2)+5^(1//8))^(...

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  6. Let S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 + k^2. Then which of the follow...

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

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

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  9. In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...

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  10. Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx...

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  11. For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...

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  12. The sum of the series .^(20)C(0)-.^(20)C(1)+ .^(20)C(2)-.^(20)C(3)+...

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  13. In the binomial expansion of (a - b)^(n) , n ge 5 , the sum of the ...

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  14. The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...

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  15. The coefficient of x^(7) in the expansion of (1-x-x^(2) + x^(3))^(6) i...

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  16. If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is ...

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  17. The coefficient of the term independent of x in the expansion of ((...

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  18. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

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  19. Given positive integers r>1,n> 2, n being even and the coefficient of...

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  20. The ratio of the coefficient of x^(15) to the term independent of x in...

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