Home
Class 12
MATHS
sum(n=1)^(prop)tan^(-1)((4n)/(n^(4)+5))=...

`sum_(n=1)^(prop)tan^(-1)((4n)/(n^(4)+5))=`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

sum_(n=1)^(n)tan^(-1)((n)/(n))

If x_(0)=sum_(n=1)^(oo)tan^(-1)((4n)/(n^(4)-2n^(2)+3)), then which of the following is/are correct

sum_(n=1)^(oo)(tan^(-1)((4n)/(n^(4)-2n^(2)+2))) is equal to ( A) tan^(-1)(2)+tan^(-1)(3)(B)4tan^(-1)(1)(C)(pi)/(2)(D)sec^(-1)(-sqrt(2))

sum_(n=1)^(oo)tan^(-1)((8)/(4n^(2)-4n+1)) is equal to

The sum sum_(n=1)^(60)tan^(-1)((2n)/(n^(4)-n^(2)+1)) equals tan^(-1)K, where K equal-

The sum sum_(n=1)^(oo)tan^(-1)((3)/(n^(2)+n-1)) is equal to

Find the value of lim_(n to oo) (tan(sum_(r=1)^(n) tan^(-1)((4)/(4r^(2)+3)))) .

Prove that: sum_(m=1)^(n)tan^(-1)((2m)/(m^(4)+m^(2)+2))=tan^(-1)((n^(2)+n)/(n^(2)+n+2))

RESONANCE DPP-JEE MAINS-All Questions
  1. Find the area bounded by the curves y=6x-x^2a n dy=x^2-2xdot

    Text Solution

    |

  2. If the roots of ht cubic, x^3+a x^2+b x+c=0 are three consecutive pos...

    Text Solution

    |

  3. sum(n=1)^(prop)tan^(-1)((4n)/(n^(4)+5))=

    Text Solution

    |

  4. underset(ntoprop)(lim)(n)/(3){((3)/(n)+(9)/(n^(2)))^(2)+((3)/(n)+(18)/...

    Text Solution

    |

  5. The function y=(2x-1)/(x-2),(x!=2) (a)is its own inverse (b)decrea...

    Text Solution

    |

  6. is The function f(x)=(x^2-1)|x^2-3x+2|+cos(|x|) is differentiable not ...

    Text Solution

    |

  7. If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d...

    Text Solution

    |

  8. Equation of the circle touching the circle x^(2) + y^(2) -15x + 5y =0 ...

    Text Solution

    |

  9. Let x1,""x2,"". . . . . . ,""xn be n observations, and let bar x be t...

    Text Solution

    |

  10. If the variable line y=k x+2h is tangent to an ellipse 2x^2+3y^2=6, th...

    Text Solution

    |

  11. If vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= h...

    Text Solution

    |

  12. The value of the definite integral int0^(pi/2) ((1+sin3x)/(1+2sinx)) d...

    Text Solution

    |

  13. A number x is chosen at random from the set {1,2,3,4, ………., 100}. Defi...

    Text Solution

    |

  14. if x=1^1/1+2^2/3+...1001^2/2001, y=1^1/3+2^2/5+...1001^2/2003 then ([x...

    Text Solution

    |

  15. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  16. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q ...

    Text Solution

    |

  17. Let f(x) is a cubic polynomial with real coefficients, x in R such tha...

    Text Solution

    |

  18. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

    Text Solution

    |

  19. If the angle between the asymptotes of hyperbola (x^(2))/(a^(2))-(y^(2...

    Text Solution

    |

  20. The lengths of two opposite edges of a tetrahedron of aa n db ; the...

    Text Solution

    |