Home
Class 12
MATHS
lim(ntooo)(sin^(n)1+cos^(n)1)^(n) is equ...

`lim_(ntooo)(sin^(n)1+cos^(n)1)^(n)` is equal to

A

`cot1`

B

`tan1`

C

`cos1`

D

`sin1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 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

lim_(n to oo) (3^(n)+4^(n))^(1//n) is equal to

lim_(ntooo)(n-sqrt(n^(2)+n))

lim_(ntooo) ((n!)^(1//n))/(n) equals

lim_(nto oo) (2^n+5^n)^(1//n) is equal to

lim_(n to oo) (n^(p) sin^(2)(n!))/(n +1) , 0 lt p lt 1 , is equal to-

lim_(ntooo)((root(3)(n!))/n) is equal to

If (cos x)/(sin ax) is periodic function, then lim_(mrarroo)(1+cos^(2m)n!pia) is equal to

The value of lim_(n rarr oo)(1)/(n^(2)){(sin^(3)pi)/(4n)+2(sin^(3)(2 pi))/(4n)+...+n(sin^(3)(n pi))/(4n)} is equal to

ARIHANT MATHS-LIMITS-Exercise (Single Option Correct Type Questions)
  1. If x1=sqrt(3) and x(n+1)=(xn)/(1+sqrt(1+x n^2)),AA n in N then lim(n...

    Text Solution

    |

  2. lim(xtoa^(-))(sqrt(x-b)-sqrt(a-b))/((x^(2)-a^(2))),(agtb) is

    Text Solution

    |

  3. lim(ntooo)(sin^(n)1+cos^(n)1)^(n) is equal to

    Text Solution

    |

  4. The value of lim(xto0)2/(x^(3))(sin^(-1)x-tan^(-1)x)^(2//x^(2)) equals

    Text Solution

    |

  5. The value of lim sum(k=1)^n (n-k)/n cos((4k)/n) equals to

    Text Solution

    |

  6. lim(x->0)(1-sqrt(cos2x)*root(3)(cos3x).....root(n)(cosnx))/x^2 has ...

    Text Solution

    |

  7. lim(zto oo)(int(1//2)^(2)[cot^(-1)x]dx)/(int(1//2)^(z)[1+1/x]dx), wher...

    Text Solution

    |

  8. If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0, w...

    Text Solution

    |

  9. If f(x)=1/3(f(x+1)+5/(f(x+2))) and f(x)gt0,AA x epsilonR, then lim(xto...

    Text Solution

    |

  10. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2<f(x)<(x^2|4x...

    Text Solution

    |

  11. Let f(x) be polynomial of degree 4 with roots 1,2,3,4 and leading coef...

    Text Solution

    |

  12. The value of lim(xto(pi)/4)(4sqrt(2)-(cosx+sinx)^(5))/(1-sin2x) is

    Text Solution

    |

  13. If("lim")(xvecoo)(n .3^n)/(n(x-2)^n+n .3^(n+1)-3^n)=1/3, t h e nt h e ...

    Text Solution

    |

  14. Let f(x)=lim(nrarroo)1/((3/(pi)tan^(-1)2x)^(2n)+5) then the set of val...

    Text Solution

    |

  15. The integer n for which the lim(x to 0)(cos^(2)x-cosx-e^(x)cosx+e^(x...

    Text Solution

    |

  16. If I(1)=lim(xto 0)sqrt((tan^(-1)x)/x-(sin^(-1)x)/x) and I(2)=lim(xto...

    Text Solution

    |

  17. underset(xto(pi)/(2))(lim)([(x)/(2)])/(log(e)(sinx))([.] denotes great...

    Text Solution

    |

  18. Let a1=1, an=n(a(n-1)+1 for n=2,3,... where Pn=(1+1/a1)(1+1/a2)(1+1/a3...

    Text Solution

    |

  19. If f(x+ y) = f(x) + f(y) for x, y in R and f(1) = 1, then find the val...

    Text Solution

    |

  20. lim(n->oo)n^(- n^2)((n+1)(n+1/2)(n+1/2^2)....(n+1/(2^(n-1))))^n

    Text Solution

    |