Home
Class 11
MATHS
Evaluate: ("lim")(h->0)(2[sqrt(3)sin(pi/...

Evaluate: `("lim")_(h->0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(sqrt(3)cosh-sinh)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate : lim_(xto(pi)/(6))(sqrt3sinx-cosx)/((x-(pi)/(6)))

Evaluate lim_(xrarrpi//6)(sqrt3sinx-cosx)/((x-pi/6))

Evaluate the limit: ("lim")_(h -> 0)[1/(h(8+h)^(1/3))-1/(2h)]

Evaluate lim_(h->0)((a+h)^2sin^(-1)(a+h)-a^2sin^(-1)a)/h

Evaluate: lim_(x->a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x)),(a!=0)dot

int_(0)^(pi)(sqrt(2)xdx)/(sqrt(2)+sin x)

Evaluate: lim_(h rarr 0)(e^(5h)-1)/(3h)

Evaluate lim_(xto-1^(+))(sqrt(pi)-sqrt(cos^(-1)x))/(sqrt(1+x)).

Evaluate lim_(xto(pi)/(6)) (2-sqrt(3)cosx-sinx)/((6x-pi)^(2)).

Evaluate : underset(xrarr3)"lim"(sqrt(x-3)+sqrt(x)-sqrt(3))/(sqrt(x^(2)-9)

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: lim(n->oo)ncos(pi/(4n))sin(pi/(4n))

    Text Solution

    |

  2. The value of lim(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-...

    Text Solution

    |

  3. Evaluate: ("lim")(h->0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(s...

    Text Solution

    |

  4. Evaluate: lim(x->0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2)/2)cos...

    Text Solution

    |

  5. Evaluate: lim(x->0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

    Text Solution

    |

  6. Evaluate: lim(n->oo)n^2{sqrt((1-cos(1/n))sqrt((1-cos(1/n)) sqrt((1-cos...

    Text Solution

    |

  7. Evaluate: ("lim")(x→0,y→0)(y^2+sinx)/(x^2+siny^2) where (x , y)→(0,0)...

    Text Solution

    |

  8. Evaluate underset(ntooo)lim{cos((x)/(2))cos((x)/(4))cos((x)/(8))...cos...

    Text Solution

    |

  9. Find the value of alpha so that lim(x->0)1/(x^2)(e^(alphax)-e^x-x)=3/...

    Text Solution

    |

  10. If x(1) and x(2) are the real and distinct roots of ax^(2)+bx+c=0 then...

    Text Solution

    |

  11. If lim(xrarr0)(1+ax+bx^2)^(2//x)=e^3, then the value of a and b, is :

    Text Solution

    |

  12. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

    Text Solution

    |

  13. If ("lim")(x tooo){(x^2-1)/(x+1)-(a x+b)}=2, then find the value of a ...

    Text Solution

    |

  14. Evaluate: lim(x->0)(e^x-1-x)/(x^2)

    Text Solution

    |

  15. If ("lim")(x to0)(a e^x-b)/x = 2 , then find the value of a and bdot

    Text Solution

    |

  16. Evaluate: ("lim")(xto1)("xsin"{x})/({x-1}) if exists, where {x} is the...

    Text Solution

    |

  17. Evaluate: lim(x->2) (x^2-1)/(2x+4)

    Text Solution

    |

  18. Evaluate: ("lim")(xto0)(1^(1//sin^2x)+2^(1//(sin^2x))++n^(1//sin^2x))^...

    Text Solution

    |

  19. Let f(x)={{:(cos[x]", "xle0),(|x|+a", "xgt0):}. Then find the value...

    Text Solution

    |

  20. If f(x)=|x-1|-[x], \where\ [x] is the greatest integer less then or eq...

    Text Solution

    |