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The value upto 3 decimal place of (0.999...

The value upto 3 decimal place of `(0.999)^3` is (applying Binomial Theorem)

A

0.999

B

0.998

C

0.997

D

0.995

Text Solution

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The correct Answer is:
C
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PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
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  2. The value of (^8C1+^8C2+^8C3+....+^8C8) is

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  3. The value upto 3 decimal place of (0.999)^3 is (applying Binomial Theo...

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  4. Find the 10th term of (2x^2+1/x)^12.

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  5. If rth term in the expansion of (x+1/x)^10 is independent of x, then f...

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  6. Find the middle term in the expansion of (x-1/(2y))^10.

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  7. find the value of (99)^4.

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  8. Find a, if 17th and 18th terms in the expansions of (2+a)^50 are equal...

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  9. If the 3rd term in the expansion of (1/x+x^(log(10)x))^5 is 1000, then...

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  10. Determine the constant term in the expansion of (x^3-1/x^2)^15.

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  11. Find the coefficient of x^20 in the expression of (1+x^2)^40(x^2+2+1/x...

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  12. Find the term independent of x in the expansion of (sqrtx+1/(3x^2))^10...

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  13. Find the coefficient of x in (1-2x^3+3x^5)(1+x+1/x)^10.

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  14. In the expansion of (1+x)^(m+n), where m & n are +ve integers, prove t...

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  15. Determine the term independent of x in the expansion of (3x^2-1/(2x^3)...

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  16. Find the coefficient of x^5 in the expression of (1+x^2)^5(1+x)^4.

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  17. Which term in the expansion of (1+x)^p(1+1/x)^q is independent of x, w...

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  18. Determine the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n.

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  19. Determine the x-free term in (sqrtx-sqrtc/sqrtx)^10.

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  20. Show that the sum of the coefficients of all odd terms in the expansio...

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