Home
Class 12
MATHS
The value of lim(ntooo)a(n) when a(n+1)=...

The value of `lim_(ntooo)a_(n)` when `a_(n+1)=sqrt(2+a_(n)), n=1,2,3,`….. is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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

Solve lim_(n rarr oo)a_(n), when a_(n+1)=sqrt(2+a_(n)),n=1,2,3dots

The Sequence {a_(n)}_(n=1)^(+oo) is defined by a_(1)=0 and a_(n+1)=a_(n)+4n+3,n>=1 . Find the value of lim_(n rarr+oo)(sqrt(a_(n))+sqrt(a_(4n))+sqrt(a_(4^(2)n))+sqrt(a_(4^(3)n))+......+sqrt(a_(4^(10)n)))/(sqrt(a_(n))+sqrt(a_(2n))+sqrt(a_(2^(2)n))+sqrt(a_(2^(3)n))+.....+sqrt(a_(2^(10)n)))

B={a_(n):n in N,a_(n)+1=2a_(n) and a_(1)=3}

Let (:a_(n):) be a sequence given by a_(n+1)=3a_(n)-2*a_(n-1) and a_(0)=2,a_(1)=3 then the value of sum_(n=1)^(oo)(1)/(a_(n)-1) equals (A) 1 (B) (1)/(2) (C) 2 D) 4

The sequence a_(1),a_(2),a_(3),a_(4)...... satisfies a_(1)=1,a_(2)=2 and a_(n+2)=(2)/(a_(n+1))+a_(n),n=1,2,3... If 2^(lambda)a_(2012)=(2011!)/((1005!)^(2)) then lambda is equal to

Prove that lim_(n rarr oo)a_(n)=-(1)/(4), where a_(n)=n^(2),(sqrt(1+(1)/(n))+sqrt(1-(1)/(n))-2) for n in N.

The Fibonacci sequence is defined by 1=a_(1)=a_(2) and a_(n)=a_(n-1)+a_(n-2),n>2 Find (a_(n+1))/(a_(n)) for n=1,2,3,4,5

If (1+px+x^(2))^(n)=1+a_(1)x+a_(2)x^(2)+…+a_(2n)x^(2n) . The value of a_(1)+3a_(2)+5a_(3)+7a_(4)+….(4n-1)a_(2n) when p=-3 and n in even is

ARIHANT MATHS-LIMITS-Exercise (Single Option Correct Type Questions)
  1. The value of lim(xto(pi)/4)(4sqrt(2)-(cosx+sinx)^(5))/(1-sin2x) is

    Text Solution

    |

  2. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If f(x)={((sin[x])/([x]), [x]!=0),(0,[x]=0):} where [.] denotes the ...

    Text Solution

    |

  11. Let f(x)=(|x^(3)-6x^(2)+11x-6|)/(x^(3)-6x^(2)+11x-6) then the number...

    Text Solution

    |

  12. Let the rth term t(r) of a series is given by t(r)=r/(1+r^(2)+r^(4)),...

    Text Solution

    |

  13. The value of lim(ntooo)sum(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

    Text Solution

    |

  14. Let tan alpha . x + sin alpha · y = alpha and alpha. cosec alpha • x +...

    Text Solution

    |

  15. The polynomial of least degree such that lim(xto0)(1+(x^(2)+f(x))/(x^(...

    Text Solution

    |

  16. If n is a non zero integer and [*] denotes the greatest integer functi...

    Text Solution

    |

  17. The value of lim(xtoa)[sqrt(2-x)+sqrt(1+x)], where a epsilon[0,1/2] an...

    Text Solution

    |

  18. The value of lim(xto0^(+))(-1+sqrt((tanx-sinx)+sqrt((tanx-sinx)+sqrt...

    Text Solution

    |

  19. Evaluate: ("lim")(nvec0)(cos^2(1-cos^2(1-cos^2(cos^2(theta)))))/(s in(...

    Text Solution

    |

  20. The value of lim(ntooo)a(n) when a(n+1)=sqrt(2+a(n)), n=1,2,3,….. is

    Text Solution

    |