Home
Class 12
MATHS
The integer n for which ("lim")(xvec0)((...

The integer `n` for which `("lim")_(xvec0)((cosx-1)(cosx-ehatx)/(x^n)` is finite nonzero number is ________

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 2|5 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|23 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

Find the integral value of n for which ("lim")_(xvec0)(cos^2x-cosx-e^xcosx+e^x-(x^3)/2)/(x^n) is a finite nonzero number

lim_(xto0)((1-cos2x)(3+cosx))/(x tan 4x) is equal to

("lim")_(xvec0)(1n(1+2h)-21 n(1+h))/(h^2)=____

Evaluate the given limit : lim_(x to 0) (cos2x - 1)/(cosx - 1)

Solve lim_(x to0)(1-cos(1-cosx))/(sin^(4)x)

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

If ("lim")_(xvec0)(1+a x+b x^2)^(2/x)=e^3, then find the value of aa n dbdot

lim_(x rarr 0) (e^(x^2)-cosx)/x^2 =

Evaluate : lim_(x rarr 0) (x(e^x-1))/(1-cosx) .

Evaluate the given limit : lim_(x to 0) (cosx)/(pi - x)

ARIHANT MATHS-LIMITS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let alpha, beta in R such that lim(x ->0) (x^2sin(betax))/(alphax-sin...

    Text Solution

    |

  2. If y=(sqrt(x) + 1/sqrt(x))^2 .Find dy/(dx)

    Text Solution

    |

  3. Let f: RvecR be a continuous odd function, which vanishes exactly at o...

    Text Solution

    |

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

    Text Solution

    |

  5. Let L=("lim")(xvec0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. IfLi sfin i...

    Text Solution

    |

  6. underset(xto(pi)/(2))lim(cotx-cosx)/((pi-2x)^(3)) equals

    Text Solution

    |

  7. Let p=underset(xto0^(+))lim(1+tan^(2)sqrt(x))^((1)/(2x)). Then log(e)p...

    Text Solution

    |

  8. lim(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)is equal to

    Text Solution

    |

  9. underset(xto0)lim(sin(picos^(2)x))/(x^(2)) is equal to

    Text Solution

    |

  10. lim(xto0)((1-cos2x)(3+cosx))/(x tan 4x) is equal to

    Text Solution

    |

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

    Text Solution

    |

  12. Let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...

    Text Solution

    |

  13. If ("lim")(xvec0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,s mftheta in ...

    Text Solution

    |

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

    Text Solution

    |

  15. lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...

    Text Solution

    |

  16. lim(x->0) (sin(nx)((a-n)nx – tanx))/x^2= 0, when n is a non-zero posit...

    Text Solution

    |

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

    Text Solution

    |

  18. Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...

    Text Solution

    |

  19. lim(x to oo) ((x-3)/(x+2)) is equal to :

    Text Solution

    |