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If f(x)=x^n ,f(1)+(f^1(1))/1+(f^2(1))/(2...

If `f(x)=x^n ,f(1)+(f^1(1))/1+(f^2(1))/(2!)+........(f^n(1))/(n !),w h e r ef^r(x)` denotes the rth order derivative of `f(x)` with respect to `x ,` is a. `n` b. `2^n` c. `2^(n-1)` d. none of these

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The product of 3rd and 8th term of a GP is 243. If its 4th term is 3. ...

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  2. The value of "^30C0.^30C10+^30C1.^30C11+^30C2.^30C(12)+……+^30C(20) . ^...

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  3. If f(x)=x^n ,f(1)+(f^1(1))/1+(f^2(1))/(2!)+........(f^n(1))/(n !),w h ...

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  4. The fractional part of =(2^(4n))/15 is

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  5. The value of .^(15)C(0)^(2)-.^(15)C(1)^(2)+.^(15)C(2)^(2)-"...."-.^(15...

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  6. If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa...

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  7. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

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  8. Maximum sum of coefficient in the expansion of (1-xsintheta+x^2)^n is

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

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  10. The number of distinct terms in the expansion of (x+1/x+x^2+1/(x^2))^(...

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  11. The sum of the coefficients of even power of x in the expansion of (1+...

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  12. Second term of a GP is 6 and its 5th term is 9th time of its 3rd term....

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  13. The 4th term and the 9th term of a GP is 54 and 13122 respectively. Fi...

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  14. If a,b,c are in GP Then prove that, loga ,logb , logc are in AP.

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  15. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

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  16. If the binomial coefficient of the (2r+4)^(th) term and (r-2)^(th) ter...

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  17. If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expan...

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  18. If the three consecutive coefficients in the expansion of (1+x)^n are...

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  19. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

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  20. Least positive integer just greater than (1+0.00002)^(50000) is "".

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