Home
Class 12
MATHS
if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx...

if `f(x) = lim_(n->oo) 2/n^2(sum_(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1))` where`n in N`, then find the sum of all the solution of the equation `f(x) = |x^2 - 2|`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos
  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

if f(x)=lim_(n rarr oo)(2)/(n^(2))(sum_(k=1)^(n)kx)((3^(nx)-1)/(3^(nx)+1)) wheren in N, then find the sum of all the solution of the equation f(x)=|x^(2)-2|

Find the value of lim_(n rarr oo)sum_(k=1)^(n)((k)/(n^(2)+k))

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

let f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1)

Find the sum of the coefficients in the expansion of (1+2x+3x^(2)+...nx^(n))^(2)

If f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1) then range of f(x) is

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

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

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate : lim[x->oo](x/e-x(x/[x+1])^x)

    Text Solution

    |

  2. Let x0=2(cos)pi/6and xn=sqrt(2+x(n-1)).n=1,2,3,....... find Lim(n->oo)...

    Text Solution

    |

  3. if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where...

    Text Solution

    |

  4. Let f(x)=lim(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) li...

    Text Solution

    |

  5. Let f(x)=lim(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) li...

    Text Solution

    |

  6. Let f(x)=lim(n->oo)(2x^(2n)sin(1/x)+x)/(1+x^(2n)) then find (a) lim...

    Text Solution

    |

  7. Let f(x)=(lim)(n->oo)(2x^(2n)sin1/x+x)/(1+x^(2n))\ then find :\ (lim)...

    Text Solution

    |

  8. Through a point A on a circle, a chord AP is drawn & on the tangent at...

    Text Solution

    |

  9. At the end points A,B of the fixed segment of length L, lines are draw...

    Text Solution

    |

  10. At the endpoint and midpoint of a circular are AB, tangent lines are ...

    Text Solution

    |

  11. Let (lim)(x->1)(x^6+1+5/3(x^4+x^2)-8/3(x^5+x))/(x^5+x+6x^3-4x^4-4x^2)=...

    Text Solution

    |

  12. Let lim(x->oo)xln(e(1+1/x)^(1-x)) equal m/n where m and n are relati...

    Text Solution

    |

  13. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  14. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  15. Find the value of a for which the following function is continuous a...

    Text Solution

    |

  16. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  17. Find the value of a for which the following function is continuous a...

    Text Solution

    |

  18. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  19. Find the value of a for which the following function is continuous a...

    Text Solution

    |

  20. Find the value of a for which the following function is continuous ...

    Text Solution

    |