Home
Class 12
MATHS
If |x|lt1, then find the value of (1-2...

If `|x|lt1`, then find the value of
`(1-2x)/(1-x+x^(2))+(2x-4x^(3))/(1-x^(2)+x^(4))+(4x^(3)-8x^(7))/(1-x^(4)+x^(8))+………..oo` when `x=1/2`

Text Solution

Verified by Experts

The correct Answer is:
`1.42`
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 38

    NTA MOCK TESTS|Exercise Mathematics|30 Videos
  • NTA TPC JEE MAIN TEST 41

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

If x-(1)/(x)=3, find the values of x^(2)+(1)/(x^(2)) and x^(4)+(1)/(x^(4))

If 3x - (1)/(2x) = 3 , then find the value of (36x^(4) + 1)/(4x^(2)) .

If x=sqrt(2)+1 find the value of x^(4)-4x^(3)+4x^(2)+1

((6x^(4)+8x^(3)+27x^(2)+7)/(3x^(2)+4x+1))

If |x| lt 1 , then find the sum of the serires 2+ 4x + 6x^(2) + 8x^(3) + …….. .

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 40-MATHEMATICS
  1. In DeltaABC if medians from B and C are mutually perpendicular then th...

    Text Solution

    |

  2. Let P be the point (1,2,3) and Q be a point on the line vecr=(hati-h...

    Text Solution

    |

  3. The equation of line through (1,2,-1) and perpendicular to the lines ...

    Text Solution

    |

  4. If lim(xto0)((a sin x+b tan x)/(x^(3)))=3/2 then |a+2b| is equal to

    Text Solution

    |

  5. If f(x)=|x-2| and g(x)=f(f(x)) then for x gt10,g'(x) equal

    Text Solution

    |

  6. int(0)^(1)[sin^(-1)((2x)/(1+x^(2))) +[cos^(-1)((1-x^(2))/(1+x^(2)))+...

    Text Solution

    |

  7. If the substitution x=tan^(-1)(t) transforms the differential equation...

    Text Solution

    |

  8. If intsqrt(1+secx)dx=2(fog)(x)+C then

    Text Solution

    |

  9. Number of ways of seat 8 men and 8 women around a round table where on...

    Text Solution

    |

  10. The value of x in (0,(pi)/2) satisfying equation (sqrt(5)-1)/(sinx)+(s...

    Text Solution

    |

  11. If x(1) and x(2)(x(1)ltx(2)) are two valus of x satisfying the equatio...

    Text Solution

    |

  12. Let f(x)={(2-x+a^(2)-9a-9,xlt2),(2x-3,xge2):} where a is a positive ...

    Text Solution

    |

  13. Suppose y=f(x) be a real valued differentiable function on Rsuch that ...

    Text Solution

    |

  14. Let f(x) be a function defined for x in R such that f^(3)(x)-6f^(2)...

    Text Solution

    |

  15. If |x|lt1, then find the value of (1-2x)/(1-x+x^(2))+(2x-4x^(3))/(1-...

    Text Solution

    |

  16. If sinA+cosA=m and sin^(3)A+cos^(3)A=n then the value of m^(3)-3m+2n i...

    Text Solution

    |

  17. The mean of the data set comprising of 15 observations is 15. If one o...

    Text Solution

    |

  18. B=(2,0),C=(8,0) are the vertices of a triangle ABC such that 4"tan"B/2...

    Text Solution

    |

  19. An observer on the top of a tree, finds the angle of depression of a c...

    Text Solution

    |

  20. In n be the number of distinct solutions of the equation cos^(-1)|x|+c...

    Text Solution

    |