Home
Class 12
MATHS
If a1=1\ a n d\ a(n+1)=(4+3an)/(3+2an),\...

If `a_1=1\ a n d\ a_(n+1)=(4+3a_n)/(3+2a_n),\ ngeq1\ a n d\ if\ (lim)_(n->oo)a_n=n` then the value of `a_n` is `sqrt(2)` b. `-sqrt(2)` c. `2\ ` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos
  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(n rarr oo)(sqrt(3n^(2)-1)-sqrt(2n^(2)-1))/(4n+3) is

The value of lim_(n rarr oo)[3sqrt((n+1)^(2))-3sqrt((n-1)^(2))] is

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

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

If the sequence {a_n}, satisfies the recurrence, a_(n+1) = 3a_n - 2a_(n-1), n ge2, a_0 = 2, a_1 = 3, then a_2007 is

If x_(1)=3 and x_(n+1)=sqrt(2+x_(n)),n>=1, then backslash(lim backslash)_(x rarr oo)x_(n) is (a) -1 (b) 2(c)sqrt(5)(d)3

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the differentiability of f(x=cos^(-1)((1-x^2)/(1+x^2))

    Text Solution

    |

  2. The value of (lim)(x->0)(sqrt(2)-sqrt(1+cos x))/(sin^2x) is 1/(2sqrt(...

    Text Solution

    |

  3. If a1=1\ a n d\ a(n+1)=(4+3an)/(3+2an),\ ngeq1\ a n d\ if\ (lim)(n->oo...

    Text Solution

    |

  4. Evaluate the limit: ("lim")(nvecoo)cos(pisqrt(n^2+n))w h e nni sa nin ...

    Text Solution

    |

  5. lim(n->oo)prod(r=3)^n(r^3-8)/(r^3+8)

    Text Solution

    |

  6. If [x] denotes the greatest integer less than or equal to x , then eva...

    Text Solution

    |

  7. Let f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ if\ x!=0,kif\ x=0 f(x) is cont...

    Text Solution

    |

  8. f(x)=[(sin x+sin5x)/(cos x+cos5x)\ \ if\ x!=-pi/4,k\ if\ x=-pi/4 is co...

    Text Solution

    |

  9. If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is continuous at x=1 then find t...

    Text Solution

    |

  10. What kind of discontinuity the function (cosx)/x h a s\ \ a t\ x=0.

    Text Solution

    |

  11. If f(x)=[(8^x-4^x-2^x+1^2)/(x^2\ ),\ x >0e^xsinx+4x+k ln4,\ xlt=0 is c...

    Text Solution

    |

  12. Let f(x)={(x-1)sin(1/(x-1)), if"x"!="1"0, if"x"="1"} . Then which one ...

    Text Solution

    |

  13. (lim)(x->1)(1-x)tan((pix)/2)\ a. pi/2 b. pi c. 2/pi d. 0

    Text Solution

    |

  14. The value of (lim)(x->pi/2)(int t\ dt)/(sin(2x-pi))integral from pi/...

    Text Solution

    |

  15. The (lim)(x->0)(cos x)^(cotx) is -1 b. 1 c. 0 d. none of these

    Text Solution

    |

  16. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

    Text Solution

    |

  17. The function f(x)=[x^2] (where [y] is the greatest integer less tha...

    Text Solution

    |

  18. If f(x)={x e^(-(1/(|x|)+1/x)),\ x!=0 , 0,\ x=0,\ t h e n\ f(x) is a. C...

    Text Solution

    |

  19. Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]. If f(x) is ...

    Text Solution

    |

  20. The function f(x)=|x|+|x-1| is Continuous at x=1, but not differentiab...

    Text Solution

    |