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Least positive integer just greater than `(1+0. 00002)^(50000)` is.

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Verified by Experts

The correct Answer is:
3
`(1+0.0002)^(50000) = (1+1/(50000))^(50000)`
Now we know that `2 le (1+1/n)^(n) lt 3 AA n ge 1`
`rArr ` Least integer is 3
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CENGAGE-BINOMIAL THEOREM-Exercise (Numerical)
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  2. Least positive integer just greater than (1+0. 00002)^(50000) is.

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  3. If the second term of the expansion [a^(1/(13))+a/(sqrt(a^(-1)))]^n is...

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  4. If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N...

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  5. The largest value of x for which the fourth tem in the expansion (5^2/...

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  6. Let a and b be the coefficients of x^3 in (1+x+2x^2+3x^2)^4a n d(1+x+2...

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  7. If R is remainder when 6^(83)+8^(83) is divided by 49, then the value ...

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  8. The remainder, if 1+2+2^2++2^(1999) is divided by 5 is.

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  9. Given (1-2x+5x^2-10 x^3)(1+x)^n=1+a1x+a2x^2+ and thata1 2=2a2 then the...

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  11. The coefficient of x^(103) in (1+x+x^(2) +x^(3)+x^(4))^(199)(x-1)^(201...

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  12. The total number of different terms in the product (.^(101)C(0) - .^(1...

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  13. The constant term in the expansion of (log(x^(logx))-log(x^(2))100)^...

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  14. The value of sum(r=0)^(3) ""^(8)C(r)(""^(5)C(r+1)-""^(4)C(r)) is "".

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  15. The sum of the series (.^(101)C(1))/(.^(101)C(0)) + (2..^(101)C(2))/...

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  16. Let a=3^(1/(223))+1 and for all geq3,l e tf(n)=^n C0dota^(n-1)-^n C1do...

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  18. The value of lim(n rarroo) sum(r=0)^(n) (sum(r=0)^(r-1) (1)/(5^(n)).""...

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  19. If sum(r=0)^(n) ((r+2)/(r+1))""^(n)C(r)=(2^(8)-1)/(6).then n is equal ...

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  20. If S(n) = (.^(n)C(0))^(2) + (.^(n)C(1))^(2) + (.^(n)C(n))^(n), then ma...

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