Home
Class 12
MATHS
f(x)=(lim)(n->oo)(t a npix^2+(x+1)^n s i...

`f(x)=(lim)_(n->oo)(t a npix^2+(x+1)^n s in x)/(x^2+(x+1)^n)` , find `(lim)_(x->0)f(x)dot`

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)(tan pi x^(2)+(x+1)^(n)sin x)/(x^(2)+(x+1)^(n)) then

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

f(x)=lim_(n rarr oo)(cos pi x-x^(2n)sin(x-1))/(1+x^(2n+1)-x^(2n)), find lim_(x rarr1)f(x)

If f(x)=lim_(n->oo)((x^2+a x+1)+x^(2n)(2x^2+x+b))/(1+x^(2n))and lim_(x->+-1)f(x) exist, then The value of b is (a)-1 (b). 1 ( c.) 0 (d).2

Let f(x)=lim_(n->oo)(2x^(2n)sin(1/x)+x)/(1+x^(2n)) then find (a) lim_(x->oo) xf(x) (b) lim_(x->1) f(x) (c) lim_(x->0) f(x) (d) lim_(x->-oo) f(x)

Let f(x)=lim_(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) lim_(x rarr oo) x f(x) (b) lim_(x rarr 1) f(x)

Let f(x)=lim_(n rarr oo)(log(2+x)-x^(2n)sin x)/(1+x^(2n)) then

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

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate: lim(x->0)x^m(logx)^n ,m , n in Ndot

    Text Solution

    |

  2. Evaluate: ("lim")(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

    Text Solution

    |

  3. f(x)=(lim)(n->oo)(t a npix^2+(x+1)^n s in x)/(x^2+(x+1)^n) , find (...

    Text Solution

    |

  4. f(x)=(lim)(n->oo)(cospix-x^(2n)"sin"(x-1))/(1+x^(2n+1)-x^(2n)) , fi...

    Text Solution

    |

  5. Evaluate (lim)(x->0)(1+tan^2sqrt(x))^(1//x)

    Text Solution

    |

  6. (lim)(x->tan^(-1)3)([tan^3x]-2[t a n x]-3)/([tan^2x]-4[tanx]+3) (where...

    Text Solution

    |

  7. Evaluate of the following limit: (lim)(x->0)(e^x-1-x)/(x^2)

    Text Solution

    |

  8. Evaluate of the following limit: (lim)(x->0)(x-sinx)/(x^3)

    Text Solution

    |

  9. Evaluate of the following limit: (lim)(x->0)(e^x-e^(-x)-2x)/(x^3)

    Text Solution

    |

  10. Evaluate of the following limit: (lim)(x->0)(x-t a n x)/(x^3)

    Text Solution

    |

  11. Evaluate: (lim)(x->0)(e^x-1-x^3)/(sin^6 2x)

    Text Solution

    |

  12. The value of lim(xto0) ((1+x)^(1//x)-e)/(x) is

    Text Solution

    |

  13. If (lim)(x->0)(A cos x+B xsinx-5)/(x^4) exists & finite. Find A\ &\...

    Text Solution

    |

  14. if f(x)=(4+sin2x+Asinx+Bcosx)/x^2 for x!=0 is continuous at x=0 then A...

    Text Solution

    |

  15. Evaluate the following : (lim)(x->0)(e^x^2-cosx)/(x^2)

    Text Solution

    |

  16. Evaluate the following limit: (lim)(x->0)(e^(s in2x)-e^(sin\ x))/x

    Text Solution

    |

  17. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

    Text Solution

    |

  18. Find the points of discontinuity of the following function f(x)=1/(2...

    Text Solution

    |

  19. Find the points of discontinuity of the following function f(x)=x^2...

    Text Solution

    |

  20. Find the points of discontinuity of the function: f(x)=1/(x^4+x^2+1)

    Text Solution

    |