Home
Class 11
MATHS
Evaluate the limit: ("lim")(h -> 0)[1/(h...

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

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_(hto0) [(1)/((h)(8+h)^(1/3))-(1)/(2h)].

Evaluate the following limits: lim_(hto0)((a+h)^(2)sin(a+h)-a^(2)sina)/(h)

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

Evaluate: lim_(h to 0)(e^(tan h)-1)/(h)

Evaluate : lim_(hrarr0)(e^h h)/h -1

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

(lim)_(hvec0)((e+h)^(1n(e+h))-e)/hi s____

Evaluate : underset(hrarr0)"lim"(e^(5h)-1)/(3h)

Evaluate: lim_(h rarr 0) (e^(2h)-1)/(e^(3h)-1)

Evaluate the following limits : underset(hrarr1)"lim"(h^(2)+2h-3)/(h-1)

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate the limit: lim(x->0)(sqrt(2)-sqrt(1+cosx))/(sin^2x)

    Text Solution

    |

  2. Let f ''(x) be continuous at x=0 If lim(xto0) (2f(x)-3af(2x)+bf(8x))...

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate: lim(x->0)(e-(1+x)^(1/x))/x

    Text Solution

    |

  5. Using lim(theta -> 0) (sintheta/theta)=1 prove that the area of circ...

    Text Solution

    |

  6. Evaluate: lim(x->1)sec(pi/(2x))logxdot

    Text Solution

    |

  7. Evaluate : [underset(x to 0)lim (sin x)/(x)], where [*] represents the...

    Text Solution

    |

  8. Let f(x)=lim(m->oo){lim(n->oo)cos^(2m)(n !pix)}, where x in Rdot Then...

    Text Solution

    |

  9. Evaluate: lim(x->pi/2)(1+cos2x)/((pi-2x)^2)

    Text Solution

    |

  10. Evaluate underset(ntooo)limn^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))......

    Text Solution

    |

  11. Solve: lim(x->oo)2^(x-1) tan(a/(2^x))

    Text Solution

    |

  12. Evaluate underset(xto pi//2)lim(sinx-(sinx)^(sinx))/(1-sinx+log(e)sinx...

    Text Solution

    |

  13. Evaluate: lim(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

    Text Solution

    |

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

    Text Solution

    |

  15. Evaluate: lim(x->oo)x(tan^(-1)((x+1)/(x+4))-pi/4)

    Text Solution

    |

  16. Evaluate underset(xrarr(pi)/(2))(lim) tan^(2)x[sqrt(2sin^(2)x+3sinx+4)...

    Text Solution

    |

  17. Evaluate the limit: lim(x->1)("sin"(logx))/(logx)

    Text Solution

    |

  18. Let ...

    Text Solution

    |

  19. Evaluate: lim(x->0)1/xsin^(-1)((2x)/(1+x^2))

    Text Solution

    |

  20. At the endpoint and midpoint of a circular are AB, tangent lines are ...

    Text Solution

    |