Home
Class 12
MATHS
Find the following: lim(xrarr0^+)(1+{x})...

Find the following: `lim_(xrarr0^+)(1+{x})^(1//x)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the following: lim_(xrarr0^+)({x})^(1//x)

lim_(xrarr0^(+))(e^(x)+x)^((1//x))

Find the following limits : lim_(xrarr0) {{(x+1)^5-1}/x}

lim_(xrarr0)((x-1+cosx)/(x))^(1//x)

lim_(xrarr0) ((x+1)^(5)-1)/(x)

Find the following limits : lim_(xrarr0) {(sqrt(1+x)-1)/x}

lim_(xrarr0)(e^(1//x)-1)/(e^(1//x)+1)=

Evaluate the following limits: lim_(xrarr0)((2^(x)-1)/(x))

Evaluate lim_(xrarr0) (1+x)^(1/x)

Evaluate the following limits: lim_(xrarr0)((e^(x)-x-1)/(x))

RESONANCE DPP-JEE MAINS-All Questions
  1. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^3dot(d^2y)...

    Text Solution

    |

  2. In acute angled triangle A B C ,A D is the altitude. Circle drawn with...

    Text Solution

    |

  3. Find the following: lim(xrarr0^+)(1+{x})^(1//x)

    Text Solution

    |

  4. If in a DeltaABC, the altitudes from the vertices A, B, C on opposite ...

    Text Solution

    |

  5. Find the following: lim(xrarr0^+)({x})^(1//x)

    Text Solution

    |

  6. Find the following: lim(xrarroo)(x^2-3x+2)/(x^3+3x)

    Text Solution

    |

  7. In a triangle ABC, if cos A cos B + sin A sin B sin C = 1, then a:b:c ...

    Text Solution

    |

  8. Which of the following is and determinate form (lim)(xvec1)(x^3-1)/(x-...

    Text Solution

    |

  9. Which of the following holds goods for any tiangle ABC, a,b,c are the ...

    Text Solution

    |

  10. Evaluate the following: lim(xrarr1)(x^3-1)/(x^2-6x+5)

    Text Solution

    |

  11. int(dx)/((x^2+4x+5)^2)i se q u a lto 1/2[tan^(-1)(x+1)+("x"+2)/("x"^...

    Text Solution

    |

  12. In a triangle, with usual notations, the length of the bisector of ang...

    Text Solution

    |

  13. Evaluate the following: lim(xto1/3)(3x^2+5x-2)/(9x^2-1)

    Text Solution

    |

  14. If varphi(x)=int(1/x)^(sqrt(x))sin(t^2)dt then varphi^(prime)(1)= ...

    Text Solution

    |

  15. In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdo...

    Text Solution

    |

  16. An ordinary cubical dice having six faces marked with alphabets A, ...

    Text Solution

    |

  17. If f(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4) then f^(prime)(2) has th...

    Text Solution

    |

  18. Three equal circles each of radius r touch one another. The radius of ...

    Text Solution

    |

  19. Let V be the vertex and L be the latusrectum of the parabola x^2=2y+4x...

    Text Solution

    |

  20. If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...

    Text Solution

    |