Home
Class 12
MATHS
The value of lim(xto0)(x cosx-log(1+x))/...

The value of `lim_(xto0)(x cosx-log(1+x))/(x^(2))` is

A

`1/2`

B

0

C

1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL 2|103 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(xto0) (1+sinx-cosx+log(1-x))/(x^(3)) is

The value of lim_(xto0) (1-(cosx)sqrt(cos2x))/(x^(2)) is

The value of lim_(xto0)(p^(x)-q^(x))/(r^(x)-s^(x)) is

If lim_(xto0) [1+x+(f(x))/(x)]^(1//x)=e^(3) , then the value of ln(lim_(xto0) [1+(f(x))/(x)]^(1//x)) is _________.

Evaluate lim_(xto0) (1-cos(1-cosx))/(x^(4)).

Evaluate lim_(xto0) (log(5+x)-log(5-x))/(x).

lim_(xto0) (1- cos 2x)/(x^(2)) = _______

The value of lim_(xto0)(x sin (sinxx)-sin^(2)x)/(x^(6)) equals

The value of lim_(xto0)(1/(x^(2))-cotx) is

Find lim_(xto0)(cot^(-1)(1/x))/x

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
  1. Evaluate: ("lim")(xvec0)((a^x+b^x+c^x)/3);(a , b , c >0)

    Text Solution

    |

  2. Evaluate underset(xto2)limsin(e^(x-2)-1)/(log(x-1))

    Text Solution

    |

  3. The value of lim(xto0)(x cosx-log(1+x))/(x^(2)) is

    Text Solution

    |

  4. If x gt0 and g is bounded function then lim(ntooo)(f(x)e^(nx)+g(x))/(e...

    Text Solution

    |

  5. The integer n for which ("lim")(xvec0)((cosx-1)(cosx-ehatx)/(x^n) is f...

    Text Solution

    |

  6. If lim(xtooo)(1+a/x+b/(x^(2)))^(2x)=e^2 then values of a and b are

    Text Solution

    |

  7. If lim(xto0)({(a-n)nx-tanx}sin nx)/(x^(2))=0, where n is non zero real...

    Text Solution

    |

  8. Find the values of a and b in order that underset(xto0)lim(x(1+acosx...

    Text Solution

    |

  9. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

    Text Solution

    |

  10. lim (xto (pi)/(3 )) (sin ((pi)/(3)-x))/( 2 cos x-1) is equal to:

    Text Solution

    |

  11. lim(x->1) (x-1){x}. where {.) denotes the fractional part, is equal to...

    Text Solution

    |

  12. Let f(x)={(x^2,x notin Z),((k(x^2-4))/(2-x),x notinZ):} Then, lim(xt...

    Text Solution

    |

  13. If f(x)={("sin"(pix)/2,, x lt1),(4x-3,,1lexle2),(log2(2x^(2)-4),,2ltxl...

    Text Solution

    |

  14. If f(x) = {{:(x((e^(1//x) - e^(-1//x))/(e^(1//x)+e^(1//x)))",",x ne 0)...

    Text Solution

    |

  15. If f(x)=(4+sin2x+a sinx+Bcosx)/(x^(2)) for x!=0 is continuous at x=0, ...

    Text Solution

    |

  16. If f(x)=(sin3x+Asin2x+Bsinx)/(x^(5)) forx!=0 is continuous at x=0, the...

    Text Solution

    |

  17. If f(x)={((a^(2[x]+{x})-1)"/ "(2[x]+{x}),x!=0),(log(e)a,x=0):} Then ...

    Text Solution

    |

  18. Let [] donots the greatest integer function and f (x)= [tan ^(2) x], t...

    Text Solution

    |

  19. f(x)=[tan^(-1)x] where [.] denotes the greatest integer function, is d...

    Text Solution

    |

  20. f(x)=[sinx] where [.] denotest the greatest integer function is contin...

    Text Solution

    |