Home
Class 12
MATHS
Let f(x)=(x(1-x))^(2), the sum of f(1/20...

Let `f(x)=(x(1-x))^(2)`, the sum of `f(1/2019)-f(2/2019)+f(3/2019)-f(4/2019)………..+f(2017/2019)-f(2018/2019)` is

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

f(x)=x/(1+x^(2)) . Find range of f(x).

Find the value of i^(2017)+i^(2018)+i^(2019)+i^(2020) .

If f(x)= x^(2 )+ 2x + 3 then find f(1), f(2), f(3)

If f(x)= (x-3)/(x + 1) then f[f {f(x)}] = …….

Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)) ,then 26 f'(1) is

If f'(x)=sqrtx and f(1)=2 then find f(x).

If f(x)=x^(2)," find "(f(1.1)-f(1))/((1.1-1))

int_(-1)^(1) log ((2019 -x)/(2019 +x)) dx =………

If f(x)= x^(3)- (1)/(x^(3)) then show that f(x)+ f((1)/(x))= 0

If f'(x)=1-(4)/(x^(2)) and f(1)=6 then find f(x) and f(2).

ALLEN -TEST PAPERS-MATHEMATICS
  1. Let there are two functions defined of f(x)="min"{|x|,|x-1|,|x+1+] ...

    Text Solution

    |

  2. There are positive integer x and y satisfying system of equations lo...

    Text Solution

    |

  3. Let f(x)=(x(1-x))^(2), the sum of f(1/2019)-f(2/2019)+f(3/2019)-f(4/20...

    Text Solution

    |

  4. Lim(n to oo) (-1)^(n)sin(pisqrt(n^(2)+n)), n epsilon N is

    Text Solution

    |

  5. If f(x)=int(sinx)/(cos^(2)x)(1-3sin^(3)x)dx, then value of (f(0)-f(pi)...

    Text Solution

    |

  6. If the equation 4sin(x+(pi)/3)cos(x-(pi)/3)=a^(2)+sqrt(3)+sin2x-cos2x ...

    Text Solution

    |

  7. If introot(3)(x).root(5)(1+root(3)(x^(4)))dx=5/8(1+x^(4/a))^((2a)/b)+c...

    Text Solution

    |

  8. If x=cos^(7)theta and y=sin theta and (d^(3)x)/(dy^(3))=105/a sin (a t...

    Text Solution

    |

  9. If Lim(x to 0)(ae^(x)-bln(1+x)+ce^(-x))/(x sin x)=2 then value of a+b+...

    Text Solution

    |

  10. Given the correct order of initials T or F for the following statement...

    Text Solution

    |

  11. Which is NOT correctly matched?

    Text Solution

    |

  12. Select the INCORRECT order.

    Text Solution

    |

  13. Consider the following conversions: N(2)toN(2)^(+) O(2) to O(2)^(+...

    Text Solution

    |

  14. Optically inactive molecule in the following?

    Text Solution

    |

  15. Which of the follownig will show geometrical isomerism?

    Text Solution

    |

  16. Correct IUPAC name of given compound is

    Text Solution

    |

  17. Which of the following pair is correct representation of resonating st...

    Text Solution

    |

  18. Which of option is incorrect?

    Text Solution

    |

  19. Which of the following types of solids is most likely to be soft, have...

    Text Solution

    |

  20. For reaction A(aq.)to2B(aq.), if 50% reaction occurs in 10 minutes and...

    Text Solution

    |