Home
Class 12
MATHS
Evaluate:underset(xto1)(lim)1/x^(1-x)...

Evaluate:`underset(xto1)(lim)1/x^(1-x)`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2016

    MODERN PUBLICATION|Exercise EXERCISE|48 Videos

  • SAMPLE PAPER 2018

    MODERN PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

Evaluate: underset(x rarr0)lim(3x-2ln(1+x))/x

Evaluate: underset(x rarr0)lim((sinx)/x)^(1/x)

Evaluate: underset(x rarr 0)lim ((sinx)/x)

Evaluate underset(0)overset(1)int(x^2)/(x^2+1)dx .

Evaluate: underset(x rarr0^+)lim log_(tan x)tan2x .

If f(a)= 2, f'(a) = 1, g(a)=-1 and g'(a)=2, then find underset(xtoa)lim(g(x)f(a)-g(a)f(x))/(x-a) .

Evaluate : overset(1)underset(0)intln(1+x)/(1+x^2)dx .

Evaluate underset(-1)overset(3)int{|x|+[x]}dx .

Evaluate: overset(2)underset(-1)int{|x|+[x]}dx

Evaluate underset(-3)overset3int|x+1|dx.

MODERN PUBLICATION-SAMPLE PAPER 2017-EXERCISE
  1. Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...

    Text Solution

    |

  2. If U=ln(x^3+y^3+z^3-3xyz), show that frac[deltau][deltax]+frac[deltau...

    Text Solution

    |

  3. Evaluate:underset(xto1)(lim)1/x^(1-x)

    Text Solution

    |

  4. If y=x^4e^(2x),then find,dy/dx.

    Text Solution

    |

  5. If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...

    Text Solution

    |

  6. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

    Text Solution

    |

  7. Solve the following differential equation (x+2y^(3))dy/dx=y.

    Text Solution

    |

  8. Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x

    Text Solution

    |

  9. Evaluate : intx^(2)tan^(-1)xdx.

    Text Solution

    |

  10. int0^ax^3(a^2-x^2)^(5/2)dx

    Text Solution

    |

  11. Evaluate:int0^a dx/(e^(4x)-5)

    Text Solution

    |

  12. Evaluate int-1^2 {|x\|+[x]}dx

    Text Solution

    |

  13. Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0

    Text Solution

    |

  14. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

    Text Solution

    |

  15. Find the co-ordinates of the point where the perpendicular from the or...

    Text Solution

    |

  16. Find the value of a for which the plane x+y+z-a=0 will touch the spher...

    Text Solution

    |

  17. If vecp=frac[1][lambda](vecbtimesvecc),vecq=frac[1][lambda](vecctimes...

    Text Solution

    |

  18. Find the equation of the plane through the point (2,1,0) and passing t...

    Text Solution

    |

  19. Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...

    Text Solution

    |

  20. If veca=3hati+hatj+2hatk,vecb=2hatj-3hatj+4hatk then verify that vecax...

    Text Solution

    |