Home
Class 12
MATHS
If (lim)(x->1)(pi/4-tan^(-1)\ \ x)/(e^("...

If `(lim)_(x->1)(pi/4-tan^(-1)\ \ x)/(e^("sin"(lnx))-x^n)` exists and has the value equal to `1/8,` then find `ndot`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos

  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

If the lim_(x rarr0)(1)/(x^(3))((1)/(sqrt(1+x))-(1+ax)/(1+bx)) exists and has the value equal to l, then find the value of (1)/(a)-(2)/(l)+(3)/(b)

If lim_(xrarr0)(2a sin x-sin 2x)/(tan^(3)x) exists and is equal to 1, then the value of a is

If lim_(x rarr0)(1-cos(1-cos(1-cos x)))/(x^(a)) exists and has a non-zero value,find the value of a.

if lim_(x rarr0)(1+a cos2x+b cos4x)/(x^(4)) exists for all x in R and has the value equal to c. Find the value of 3(a+b+c)

If lim_(x rarr0)(sin^(-1)x-tan^(-1)x)/(3x^(3)) is equal to L ,then the value of (6L+1) is:

lim_(x rarr0)(tan^(-1)x-sin^(-1)x)/(sin^(3)x), is equal to

The value of lim_(x rarr0)(sin^(-1)(2x)-tan^(-1)x)/(sin x) is equal to:

find the value of lim_(x to oo) 48x (pi/4 - tan^(-1) ((x+1)/(x+2)))

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Evaluate the following limit: (lim)(x->0)(cos(x e^x)-"cos"(x e^(-x)...

    Text Solution

    |

  2. Evaluate the following limit: (lim)(x->0)(e^1//x^2-1)/(2\ a r ctanx...

    Text Solution

    |

  3. If (lim)(x->1)(pi/4-tan^(-1)\ \ x)/(e^("sin"(lnx))-x^n) exists and has...

    Text Solution

    |

  4. Evaluate the following limit: (lim)(x->oo)(a^(1//x)-1)x

    Text Solution

    |

  5. Evaluate the following limit: (lim)(x->0)(x(2^x-1))/(1-cos x)

    Text Solution

    |

  6. Evaluate the following limit: (lim)(x->2)("sin"(e^(x-2)-1))/("log"(...

    Text Solution

    |

  7. Evaluate the following limit: (lim)(x->0)(e^x^2-cos^x)/(x^2)

    Text Solution

    |

  8. Evaluate the following limit: (lim)(x->0)(e^x+e^(-x)-2)/(x^2)

    Text Solution

    |

  9. Evaluate the following limit: (lim)(x->a)(log(x-a))/("log"(e^x-e^a))

    Text Solution

    |

  10. Evaluate the following limit: (lim)(x->0)(a^(t a n x)-a^(sin x))/(t ...

    Text Solution

    |

  11. Evaluate: ("lim")(xvec0)((1-3^x-4^x+12^x))/(sqrt((2cosx+7)-3))

    Text Solution

    |

  12. Evaluate: ("lim")(xvec0)((729)^x-(243)^x-(811)^x+9^x+3^x-1)/(x^3)

    Text Solution

    |

  13. Evaluate: ("lim")(xvec0)(1+x)^(os e cx c)

    Text Solution

    |

  14. Evaluate (lim)(x->0)(cos x)^(cos2\ x)

    Text Solution

    |

  15. Evaluate ("lim")(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

    Text Solution

    |

  16. Evaluate (lim)(x->0)((a^x+b^x+c^x)/3)^(2//x);(a ,\ b ,\ c >0)dot^(\...

    Text Solution

    |

  17. Evaluate the following limits: (lim)(x->oo)((x-1)/(x+1))^(x+3)

    Text Solution

    |

  18. Evaluate the following limits: (lim)(x->oo)((x+6)/(x+1))^(x+4)

    Text Solution

    |

  19. Evaluate the following limits: (lim)(x->oo)(1+1/(a+b x))^(c+dx)w h ...

    Text Solution

    |

  20. (lim)(x->1)(2-x)^(tan(pix)/2)

    Text Solution

    |