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The absolute term in P(x) = sum(r=1)^n (...

The absolute term in P(x) = `sum_(r=1)^n (x-1/r)(x-1/(r+1))(x-1/(r+2))` as n approches to infinity is :

A

`1/2`

B

`(-1)/(2)`

C

`1/4`

D

`(-1)/(4)`

Text Solution

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The correct Answer is:
D
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VK JAISWAL-SEQUENCE AND SERIES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  3. The sum of all digits of n for which sum (r =1) ^(n ) r 2 ^(r ) = 2+2^...

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  4. If lim ( x to oo) (r +2)/(2 ^(r+1) r (r+1))=1/k, then k =

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  6. Three distinct non-zero real numbers form an A.P. and the squares of t...

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  7. which term of an AP is zero -48,-46,-44.......?

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  10. Which is the last digit of 1+2+3+……+ n if the last digit of 1 ^(3) + ...

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  11. There distinct positive numbers, a,b,c are in G.P. while log (c) a, lo...

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  12. The numbers 1/3, 1/3 log (x) y, 1/3 log (y) z, 1/7 log (x) x are in H...

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  13. If sum ( k =1) ^(oo) (k^(2))/(3 ^(k))=p/q, where p and q are relativel...

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  18. Find the sum of series 1+1/2+1/3+1/4+1/6+1/8+1/9+1/12+…… oo, where the...

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  19. Let a (1), a(2), a(3),…….., a(n) be real numbers in arithmatic progres...

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  20. Let the roots of the equation 24 x ^(3) -14x ^(2) + kx +3=0 form a geo...

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  21. How many ordered pair (s) satisfy log (x ^(2) + (1)/(3) y ^(3) + (1)/(...

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