Home
Class 12
MATHS
lim(x-&gt0;)(root(3)(1+3x) \ -1-x)/((1+x...

`lim_(x->0;)(root(3)(1+3x) \ -1-x)/((1+x)^(101)-1-101 x)` has the value equal to

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

lim_(x rarr0;)(root(3)(1+3x)-1-x)/((1+x)^(101)-1-101x) has the value

lim_(x rarr0)(root(3)(1+x)-1)/(x)

lim_(x rarr0)(root(3)(1+x)-root(3)(1-x))/(x)

lim_(x->1^-)(1+(a r c c o s x)^(1-x))^2 has the value equal to

lim_(x-gt0)(cos2x-cos3x)/(cos4x-1)

lim_(x->0) (x^3-3x+1)/(x-1)

lim_(x->0) (x^2-3x+1)/(x-1)

lim_(x to 0) ((1 + x)^(5) -1)/((1 + x)^(3) - 1) is equal to

lim_(x rarr0)(root(3)(1+x^(2))-root(4)(1-2x))/(x+x^(2)) is equal to

RESONANCE DPP-JEE MAINS-All Questions
  1. If DeltaABC, if (c+a)/12=(a+b)/14=(b+c)/18, then find vaue of (7r(1)-r...

    Text Solution

    |

  2. Antilog(15.863)

    Text Solution

    |

  3. lim(x-&gt0;)(root(3)(1+3x) \ -1-x)/((1+x)^(101)-1-101 x) has the value...

    Text Solution

    |

  4. (i) Find antilog of 0.4 to the base 32. (ii) Find antilog of 2 to t...

    Text Solution

    |

  5. Find antilog of the following values {:((i),bar(2).362,(ii),-3.7913,...

    Text Solution

    |

  6. Let f(x)=("lim")(xvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot Then the set of...

    Text Solution

    |

  7. Evaluate the determinants(i) |3-1-2 0 0-1 3-5 0| (ii) |3-4 5 1 1-2 2 ...

    Text Solution

    |

  8. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

    Text Solution

    |

  9. Evaluate the determinants(i) |3-1-2 0 0-1 3-5 0| (ii) |3-4 5 1 1-2 2 ...

    Text Solution

    |

  10. Let f(x)=int(2)^(x)(dt)/(sqrt(1+t^(4))) and g be the inverse of f then...

    Text Solution

    |

  11. Evaluate the determinants |[3,-1,-2],[0,0,-1],[3,-5,0]|

    Text Solution

    |

  12. If ,Z1,Z2,Z3,........Z(n-1) are n^(th) roots of unity then the value ...

    Text Solution

    |

  13. Evaluate the determinants |[3,-1,-2],[0,0,-1],[3,-5,0]|

    Text Solution

    |

  14. The probability that the graph of y=16x^2 +8(a +5)x-7a-5=0, is strictl...

    Text Solution

    |

  15. Evaluate the determinants in |2 4-5-1|

    Text Solution

    |

  16. The number of values of k, for which the system of equations (k""+"...

    Text Solution

    |

  17. In a city no two persons have identical set of teeth and there is n...

    Text Solution

    |

  18. Solve: ((x-1)(x-2)(x-3))/((x+1)(x+2)(x+3))>1

    Text Solution

    |

  19. Let f(x ,y)=x y^2 if xa n dy satisfy x^2+y^2=9 then the minimum value ...

    Text Solution

    |

  20. Solve: (x-1)/x-(x+1)/(x-1)<2

    Text Solution

    |