Home
Class 12
MATHS
underset( xrarr oo )("Lim")x^(2) sin(ln...

`underset( xrarr oo )("Lim")x^(2) sin(lnsqrt( cos ""( pi)/( x)))`

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

underset( x rarr oo) ("Lim") ((cos h ( pi //x))/(cos( pi//x)))^(x^(2))

Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(2n)) then find underset( x rarr -oo)("Lim") f(x)

Compute underset(n rarr oo)("lim")(pi)/(n)| "sin"(pi)/(n) + "sin"(2pi)/(n)+ ….+ "sin"((n-1)pi)/(n)|

underset( x rarr oo)("Lim")[cos (2pi ((x)/(1+ x ))^(a))]^(x^(2))a in Q

underset( x rarr pi //2) ("Lim") ( 2 ^(cos x) - 1)/( x ( x-pi //2))= is

underset(x to oo)lim (cos""2/x)^(x^2)=

lim_(x rarr oo)x^(2)sin(log_(e)sqrt(cos(pi)/(x))) a.0 b.-(pi^(2))/(2)c-(pi^(2))/(4)d.-(pi^(2))/(8)

Evaluate underset( x rarr oo) ( "lim") ( pi - 2 tan^(-1) x ) ln x

Find underset(x to oo)lim (1+1/x^2)^x

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Let L=prod(n=3)^oo (1-4/n^2); M=prod(n=2)^oo ((n^3-1)/(n^3+1)) and N=p...

    Text Solution

    |

  2. If l = lim(a-> oo) sum(r=2)^a [ (r+1) sin (pi/(r+1)) - r sin (pi/r...

    Text Solution

    |

  3. underset( xrarr oo )("Lim")x^(2) sin(lnsqrt( cos ""( pi)/( x)))

    Text Solution

    |

  4. underset( x rarr oo)("Lim")[cos (2pi ((x)/(1+ x ))^(a))]^(x^(2))a in Q

    Text Solution

    |

  5. lim(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

    Text Solution

    |

  6. (lim)(x->0)[((1+x)^(1//x))/e]^(1//x)\ \

    Text Solution

    |

  7. Evaluate : lim[x->oo](x/e-x(x/[x+1])^x)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |