Home
Class 12
MATHS
Find the limits (i) (lim)(x""->1)[(...

Find the limits (i) `(lim)_(x""->1)[(x^2+1)/(x+100)]` (ii) `(lim)_(x""->2)[(x^3-4x^2+4x)/(x^2-4)]`

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 limits (i) (lim)_(x rarr1)[(x^(2)+1)/(x+100)] (ii) (lim)_(x rarr2)[(x^(3)-4x^(2)+4x)/(x^(2)-4)]

Find the limits : lim_(xrarr2){(x-2)/(x^2+4)}

Find the limits: lim_(x rarroo) ((x^2-2x+2)/(x^2-4x+1))^x

Find the following limits : lim_(xrarr4) {(x-1)(x-2)(x-3)}

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

Find the following limits: (i)lim_(xto0) (1)/(x)sin^(-1)((2x)/(1+x^(2)))" "(ii)lim_(xto0) (1)/(x)sin^(-1)(3x-4x^(3))

Find the following limits. (i)" "lim_(xto2) (4x)/(x^(3)-3)" "(ii)" "lim_(xto1)(log_(10)x-3)/(3x-2)" "(iii)" "lim_(xto pi) (3+cosx)/(2-sinx)

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)

Evaluate the following limits: lim_(xrarr1/2)((4x^(2)-1)/(2x-1))

RESONANCE DPP-JEE MAINS-All Questions
  1. Let y be an implicit function of x defined by x^(2x)-2x^xcot y-1=0....

    Text Solution

    |

  2. In a triangle ABC , the line joining the circumcentre and incentre is ...

    Text Solution

    |

  3. Find the limits (i) (lim)(x""->1)[(x^2+1)/(x+100)] (ii) (lim)(x...

    Text Solution

    |

  4. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^3dot(d^2y)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |