Home
Class 12
MATHS
If lim(x to oo) sum(k=1)^n (2n)/(n^2+k^2...

If `lim_(x to oo) sum_(k=1)^n (2n)/(n^2+k^2)=a and f(x)=sqrt((1-cos x)/(1+cos x)), then f'(a/2)` is equal to

A

`2+sqrt2`

B

`1+sqrt2`

C

`2-sqrt2`

D

`sqrt2-1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

The value of lim _( x to oo) sum _(k =1) ^(n) ((k)/(n ^(2) +n +2k))=

Evaluate lim_(n rarr oo)sum_(k=1)^(n)quad (k)/(n^(2)+k^(2))

lim_ (n rarr oo) sum_ (K = 1) ^ (n) (K) / (n ^ (2) + K ^ (2))

lim_ (n rarr oo) sum_ (k = 1) ^ (n) (k) / (n ^ (2) + k ^ (2)) is equals to

lim_(n rarr infty) sum_(k=1)^(n) (n)/(n^(2)+k^(2)x^(2)),x gt 0 is equal to

The value of Lim_(n rarr oo)sum_(k=1)^(n)(n-k)/(n^(2))cos((4k)/n) equals

if f (x) = lim _(x to oo) (prod_(i=l)^(n ) cos ((x )/(2 ^(l)))) then f '(x) is equal to:

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If [A](2xx2) and absA=-1 and abs((A+I)(adj A+I))=4 , then abs(Trace (A...

    Text Solution

    |

  2. Let f be a continuous function such that f(3x)-f(x)=x and f(8)=7, then...

    Text Solution

    |

  3. If lim(x to oo) sum(k=1)^n (2n)/(n^2+k^2)=a and f(x)=sqrt((1-cos x)/(1...

    Text Solution

    |

  4. A tangent is drawn to y^2=24x at (alpha,beta) which is perpendicular t...

    Text Solution

    |

  5. Given two GPs 2,2^2,2^3,. . .,2^60 and 4,4^2,. . .,4^n.If G.M of (60+n...

    Text Solution

    |

  6. If p,q,r are positive real number such that (p^2+q^2)x^2-2q(p+r)x+q^2+...

    Text Solution

    |

  7. Let f (x) =3x ^(10) -7x ^(8) +5x^(6) -21 x ^(3) +3x ^(2) -7 265 (lim...

    Text Solution

    |

  8. In the expansion (1+x)^p(1-x)^q , when p gt 0 the coefficient of x and...

    Text Solution

    |

  9. If the mean and variance of a binomial probability distribution are al...

    Text Solution

    |

  10. Statement ~(p hArr ~q) wedge q is equivalent to

    Text Solution

    |

  11. If f(x)={((ln(1-x+x^2)+ln(1+x+x^2))/(sec x -cos x), x ne 0),(k,x=0):} ...

    Text Solution

    |

  12. If g(x)={(x+a , x le 0),(abs(x-4), x gt 0):} and f(x)={(x+1 , x lt 0),...

    Text Solution

    |

  13. In complex plane, three points O ,A , B are such that O is origin A(1,...

    Text Solution

    |

  14. If A=[(1),(1),(1)] , B =[(9^2,10^2,11^2),(12^2,-13^2,14^2),(15^2,16^2,...

    Text Solution

    |

  15. The value of int0^(20pi) (abs(sin x)+ abs(cos x))dx is equal to :

    Text Solution

    |

  16. The total number between 1000 and 3000 divisible by 4 using the digits...

    Text Solution

    |

  17. The area of region between the curve y=abs(x^2-1) and y=1 is :

    Text Solution

    |

  18. The interval in which abscissa of point P on y=x^2 lies such that its ...

    Text Solution

    |

  19. The minimum value of the sum of the square of the roots of the equatio...

    Text Solution

    |

  20. Let A={1,2,3,4,5,6} , B={3,4,6,7,9} and C=A uu B , then number of elem...

    Text Solution

    |