Home
Class 12
MATHS
The integer ' n ' for which lim(x->0)((...

The integer `' n '` for which `lim_(x->0)((cos x-1)(cos x-e^x))/(x^n)` is a finite non-zero number, is a.`1` b. 2 c. `3` d. `4`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

The integer n for which lim_(x rarr0)((cos x-1)(cos x-e^(x)))/(x^(n)) is finite nonzero number is

The least integer n for which lim_(x to 0) ((cos x - 1) (cos x - e^(x)))/(x^(n)) is a finite non-zero number is

The integer n for which the lim_(x to 0)(cos^(2)x-cosx-e^(x)cosx+e^(x)-(x^(3))/2)/(x^(n)) is a finite non-zero number is

lim_(x-gt0)(cos2x-cos3x)/(cos4x-1)

lim_(x->0)(1-cos x-cos2x+cos x*cos2x)/(x^(4))

lim_(x rarr0)((1-cos2x)(3+cos x))/(x tan4x) =

Find the integral value of n for which lim_(x rarr0)(cos^(2)x-cos x-e^(x)cos x+e^(x)-(x^(3))/(2))/(x^(n)) is a finite nonzero number

RESONANCE DPP-JEE MAINS-All Questions
  1. The area {(x ,y); x^2lt=ylt=sqrt(x)} is equal to 1/3 b. 2/3 c. 1/6 d. ...

    Text Solution

    |

  2. Differentiate the following functions with respect to x x^(3/4)+a cos...

    Text Solution

    |

  3. The integer ' n ' for which lim(x->0)((cos x-1)(cos x-e^x))/(x^n) is...

    Text Solution

    |

  4. A shopkeeper places before you 41 different toys out of which 20 toys ...

    Text Solution

    |

  5. If the solution of the differential equation (dy)/(dx)=1/(xcosy+sin2y)...

    Text Solution

    |

  6. Let alpha+ibeta;alpha,beta in R , be a root of the equation x^3+q x+r...

    Text Solution

    |

  7. In triangle ABC, right-angled at B. if tanA=1/(sqrt(3)) find th...

    Text Solution

    |

  8. The function f(x)=int(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local...

    Text Solution

    |

  9. A bag contains 50 tickets numbered 1,2,3..., 50 of which five are draw...

    Text Solution

    |

  10. Solution of differential equation f(x)(dy)/(dx)=(f(x))^2+f(x)y+f(x)'.y...

    Text Solution

    |

  11. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

    Text Solution

    |

  12. Consider 5 independent Bernoulli.s trials each with probability of ...

    Text Solution

    |

  13. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2...

    Text Solution

    |

  14. Area bounded by the curve y=m a xdot{s in x ,cos x}a n dx -axis, betw...

    Text Solution

    |

  15. The number of 15th roots of unity which are also the 25th root of u...

    Text Solution

    |

  16. The length of the transverse axis of the hyperbola 9x^(2)-16y^(2)-18x ...

    Text Solution

    |

  17. Value of the parameter ' a ' such that the area bounded by y=a^2x^2+a...

    Text Solution

    |

  18. v20.1

    Text Solution

    |

  19. The line y=m x bisects the area enclosed by the curve y=1+4x-x^2 and t...

    Text Solution

    |

  20. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |