Home
Class 12
MATHS
If a(1)=1 and a(n+1)=(4+3a(n))/(3+2a(n))...

If `a_(1)=1` and `a_(n+1)=(4+3a_(n))/(3+2a_(n)),nge1`, show that `a_(n+2)gea_(n+1)` and if a lim l as `n to oo` the evaluate `lim_(ntooo)a_(n)`.`:.l=sqrt(2)`

A

`l=-sqrt(2)`

B

`l=sqrt(2)`

C

`l=2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

If a_(1)=3 and a_(n)=2a_(n-1)+5 , find a_(4) .

If a_(1)=5 and a_(n)=1+sqrt(a_(n-1)), find a_(3) .

If a_(1)=1 and a_(n)+1=(4+3a_(n))/(3+2a_(n)),nge1"and if" lim_(ntooo) a_(n)=a,"then find the value of a."

If x_(1)=3 and x_(n+1)=sqrt(2+x_(n))" ",nge1, then lim_(ntooo) x_(n) is

If a_(0) = 0.4 and a_(n+1) = 2|a_(n)|-1 , then a_(5) =

If a_(1)=1,a_(n+1)=(1)/(n+1)a_(n),a ge1 , then prove by induction that a_(n+1)=(1)/((n+1)!)n in N .

If a_(1)=3 and a_(n)=n+a_(n-1) , the sum of the first five term is

If a_(n)=3-4n , then show that a_(1),a_(2),a_(3), … form an AP. Also, find S_(20) .

If a_(1) = 2 and a_(n) - a_(n-1) = 2n (n ge 2) , find the value of a_(1) + a_(2) + a_(3)+…+a_(20) .

If a_(1)=1, a_(2)=5 and a_(n+2)=5a_(n+1)-6a_(n), n ge 1 , show by using mathematical induction that a_(n)=3^(n)-2^(n)

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. lim(xto1) (sum(r=1)^(n)x^(r)-n)/(x-1) is equal to

    Text Solution

    |

  2. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

    Text Solution

    |

  3. If a(1)=1 and a(n+1)=(4+3a(n))/(3+2a(n)),nge1, show that a(n+2)gea(n+1...

    Text Solution

    |

  4. The value of lim(xto oo)(2x^(1//2)+3x^(1//3)+4x^(1//4)+....nx^(1//n)...

    Text Solution

    |

  5. if |x| <1 then (L t)(n->oo)(1+x)(1+x^2)(1+x^4)........(1+x^(2n))=

    Text Solution

    |

  6. Let a=min{x^(2)+2x+3,x epsilonR} and b=lim(x theta to 0)(1-cos theta)/...

    Text Solution

    |

  7. underset(xto0)lim(log(1+x+x^(2))+log(1-x+x^(2)))/(secx-cosx)=

    Text Solution

    |

  8. The value of lim(x->1) y^3/(x^3-y^2-1) as (x, y)-> (1, 0) along the ...

    Text Solution

    |

  9. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  10. If f(x)={((tan^-1(x+[x]))/([x]-2x)[x]ne0,,),(0[x]=0,,):} where [x] den...

    Text Solution

    |

  11. The value of ("lim")(nvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

    Text Solution

    |

  12. lim(x->oo)((1^(1/x) +2^(1/x) +3^(1/x) +...+n^(1/x))/n)^(nx) is equal t...

    Text Solution

    |

  13. lim(n->oo) (1.2+2.3+3.4+....+n(n+1))/n^3

    Text Solution

    |

  14. lim(xto0)(x(z^(2)-(z-x)^(2))^(1//3))/([(8 x z -4x^(2))^(1//3)+(8x z)^(...

    Text Solution

    |

  15. Let Pn=((1+x)(1-x^2)(1+x^3)(1-x^4))/({(1+x)(1-x^2)(1+x^3)(1-x^4)(1-x^...

    Text Solution

    |

  16. lim(x rarr -oo)(1-2+3-4+5-6...-2x)/(sqrt(x^2+1)+sqrt(4x^2-1))

    Text Solution

    |

  17. lim(xto0)(sinx^(4)-x^(4)cosx^(4))/(x^(4)(e^(2x^(4))-1-2x^(4))) is

    Text Solution

    |

  18. The value of lim(n to oo)(1.n+2.(n-1)+3.(n-2)+…..+n.1)/(1^(2)+2^(2)+……...

    Text Solution

    |

  19. If f(x) = underset(r = 1)overset(n)(sum)a(r)|x|^(r), where a(i) s are ...

    Text Solution

    |

  20. Let f(x)={((a|x^(2)-x-2|)/(2+x-x^(2)), , xlt2),(b, , x=2),((x-[x])/(x-...

    Text Solution

    |