Home
Class 11
MATHS
Find the integral value of n for which ...

Find the integral value of `n` for which `lim_(x->0)(cos^2x-cosx-e^xcosx+e^x-(x^3)/2)/(x^n)` is a finite nonzero number

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

The integer n for which lim_(x rarr0)((cos x-1)(cosx-e^x))/x^n is a finite non-zero number is :

Evaluate: lim_(x->0)(cot2x-cos e c2x)/x

Find the value of x for which cos e c^(-1)(cosx) is defined.

Evaluate: lim_(x->0)(x2^x-x)/(1-cosx)

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

The value of lim _(xto0) ((cos x -1) (cos x-e ^(x)))/(x ^(3)) is-

The value of lim_(x->0)(e^(x^2)-e^x+x)/(1-cos2x) is

Evaluate : lim_(xrarr0)(cos5x-cos7x)/(cosx-cos5x)

Evaluate: lim_(x->0)(e^(x^2)-cosx)/(x^2)

Evaluate: lim_(x->0)(e^x-1-x)/(x^2)

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Find the values of a and b in order that lim(x->0) (x(1+a cos x)-b sin...

    Text Solution

    |

  2. ("lim")(xto1)(n x^(n+1)-(n+1)x^n+1)/((e^x-e)sinpix),\ where \n=100 , ...

    Text Solution

    |

  3. Find the integral value of n for which lim(x->0)(cos^2x-cosx-e^xcos...

    Text Solution

    |

  4. If lim(xrarrinfty)((x^2+x+1)/(x+1)-ax-b)=4 ,then

    Text Solution

    |

  5. Evaluate: lim(x->0)(logcosx)/x

    Text Solution

    |

  6. Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0. If L is finite,...

    Text Solution

    |

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

    Text Solution

    |

  8. The largets value of non negative integer for which lim(x->1){(-a x+si...

    Text Solution

    |

  9. Evaluate: lim(xrarr0)x^x

    Text Solution

    |

  10. Let m and n be two positive integers greater than 1. if lim(alphararr0...

    Text Solution

    |

  11. Evaluate: ("dy/dx") of logsinx+tanx

    Text Solution

    |

  12. The integer n for which lim(x rarr0)((cos x-1)(cosx-e^x))/x^n is a fin...

    Text Solution

    |

  13. If m , n in I0 and lim(xrarr0)(tan2x-nsinx)/(x^3)= "some integer", th...

    Text Solution

    |

  14. If lim(x rarr 0)(((a-n)nx-tanx)sinnx)/x^2=0, where n is non zero real ...

    Text Solution

    |

  15. If ("lim")(x -> 0)(cos4x+acos2x+b)/(x^4) is finite, find aa n db using...

    Text Solution

    |

  16. The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...

    Text Solution

    |

  17. If lim(x->a)(a^x-x^a)/(x^x-a^a)=-1 and a >0, then find the value o...

    Text Solution

    |

  18. If lim(x rarr 0)[1+x ln(1+b^2)]^(1/x)=2b sin^2 theta, b gt 0 "and" the...

    Text Solution

    |

  19. If L=lim(x->0)(sin2x+asinx)/(x^3) is finite, then find the value of ...

    Text Solution

    |

  20. Evaluate: ("lim")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

    Text Solution

    |