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The summation of the infinite series 1+...

The summation of the infinite series `1+ (1.3)/6 + (1.3.5)/(6.8) + …. "" oo` of

A

1

B

`0`

C

`oo`

D

4

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The correct Answer is:
D
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 5-Mathematics
  1. If lim(x to 0) [(x(1+3acosx)- 5bsinx)/(x^3)] = 1 . The value of a and ...

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  2. A point is moving along the parabola y^2 = 8x at the rate of 2m/s . T...

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  3. The summation of the infinite series 1+ (1.3)/6 + (1.3.5)/(6.8) + …. ...

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  4. The comples number a+ib whose modulus is unity and b ne 0 can be writt...

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  5. f(x) = e^(-1//x^2) sin(1//x) for x ne 0 and f(0) =0 . The function ...

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  6. Domain of the function , f(x) = sqrt(sin^(-1) (log2 x)) is

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  7. The value of the intergal int0^(pi//2) (phi(x))/(phi (x) + phi(pi/2...

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  8. For positive integers n(1) and n(2) the value of the expression (1+i...

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  9. For real x, the equation |(x)/(x-1)| + |x| = (x^2)/(|x-1|) has

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  10. If a gt 0, b gt 0 and c gt 0 , then both the roots of the equations ax...

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  11. If m+ np2 = 90 and m-np2 = 30 , then (m,n) is given by

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  12. If 'P' is a prime number such that p ge 23 and n+ p! + 1 , then the n...

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  13. If the product of 'n' positive numbers is unity, then their sum is

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  14. A determinant is chosen at random from a set of all determinants of or...

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  15. The expression ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2 c^2) for a triang...

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  16. The value of cos( 1/2 cos^(-1)"" 1/8) is equal to

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  17. If the base of an isosceles triangle is of length '2a' and the length ...

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  18. PQ is double ordinate of the hyperbola x^2//a^2 - y^2//b^2 =1 such tha...

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  19. If phi(x) = int(1//x)^(sqrtx) sin(t^2) dt, then phi'(1) is equal to

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  20. If int cosex 2x dx = f(g(x)) + c , then

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