Home
Class 12
MATHS
Given f(x) = 1/( (x^2 + 2x+1)^(1/3) + (...

Given f(x) = ` 1/( (x^2 + 2x+1)^(1/3) + (x^2 -1)^(1/3) + (x^2 - 2x + 1)^(1/3))` and E = f(1) + f(3) + f(5) + ............ + f(999), then

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Given f(x)=3x+2 . Find f^(-1)(x)

If 2f(x^2)+3f(1/x^2)=x^2-1 , then f(x^2) is

If f (x )= (x-1) ^(4) (x-2) ^(3) (x-3) ^(2) then the value of f '(1) +f''(2) +f''(3) is:

If f((xy)/(2)) = (f(x).f(y))/(2), x, y in R, f(1) = f'(1)."Then", (f(3))/(f'(3)) is.........

Statement -1: f(x) = (1)/(2)(3^(x) + 3^(-x)) , then f(x) ge 1 AA x in R . Statement -2 : The domain of f(x) = log_(3)|x| + sqrt(x^(2) - 1) + (1)/(|x|) is R - [-1, 1]. Statement-3 : If f(x^(2) - 2x + 3) = x-1 , then f(2) + f(0) is euqal to -2.

If f'(x)=(1)/((1+x^(2))^(3//2)) and f(0)=0, then f(1) is equal to :

If f(x) = x^3 - frac{1}{x^3} then f(x)+f(1/x)= (A)2 x^3 (B) 2/x^3 (C) 0 (D) 1

Assertion (A) : x + x^(2)/(1!) + x^(3) /(2!) + (x^4)/(3!) + .....+ oo = f(x) Then the series f(1), f(2) ,f(3) ,f(4) ... Are in G.P . Reason (R) : In the above series f'(x) = e^(x) (x+1)

If f(x) = (3x-2)/(2x-3),AA x in R -{(3)/(2)} , " Find " f^(-1)

A function f(x) is defined as f(x)=x^2+3 . Find f(0), F(1), f(x^2), f(x+1) and f(f(1)) .

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Two cards are drawn one after another from a pack of 52 ordinary cards...

    Text Solution

    |

  2. If G is the centroid and O is the circumcentre of the triangle with ve...

    Text Solution

    |

  3. Given f(x) = 1/( (x^2 + 2x+1)^(1/3) + (x^2 -1)^(1/3) + (x^2 - 2x + 1)...

    Text Solution

    |

  4. The minimum value of the function f(x)=x^(10)+x^2+1/(x^(12))+1/((1+s...

    Text Solution

    |

  5. Sum of the solution of the equation [x^2]-2x+1=0 is (where [.] denot...

    Text Solution

    |

  6. ABC has integral side lengths. Internal angle bisector of angle B m...

    Text Solution

    |

  7. Find the underset(k=1)overset(oo)sumunderset(n=1)overset(oo)sumk/(2^(n...

    Text Solution

    |

  8. 2n(A-B)=n(A-B) and 5n(AnnB)=n(A)+3n(B) If n(AuuB)lt=10 , then the va...

    Text Solution

    |

  9. If both roots of quadratic equation x^2+(sintheta+costheta)x+3/8=0 are...

    Text Solution

    |

  10. If the inequality k x^2-2x+kgeq0 holds good for atleast one real ' x...

    Text Solution

    |

  11. A circle passes through the points A(1,0) and B(5,0), and touches the ...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. Consider a family of circle passing thorugh two fixed points A(3,7) an...

    Text Solution

    |

  14. Equation of chord AB of circle x^(2)+y^(2)=2 passing through P(2,2) su...

    Text Solution

    |

  15. In a triangle A B C ,A-=(alpha,beta)B-=(2,3),a n dC-=(1,3)dot Point A ...

    Text Solution

    |

  16. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

    Text Solution

    |

  17. Let f(x) be a 4 degree polynomial satisfying f(r)=(1)/(r) for r=1,2,3,...

    Text Solution

    |

  18. if f(x) is a differentiable function wherever it is continuous and f^(...

    Text Solution

    |

  19. consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. Which of the ...

    Text Solution

    |

  20. Let f (x) be a polynommial satisfying f (0) =2 , f (0) = 3 and f ''...

    Text Solution

    |