Home
Class 11
MATHS
The reciprocal of the value of: lim(n->o...

The reciprocal of the value of: `lim_(n->oo)(1-1/(2^2))(1-1/(3^2))(1-1/(4^2))(1-1/(n^2))i s `

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

lim_(n->oo)((n^2-n+1)/(n^2-n-1))^(n(n-1)) is

The value of lim_(ntooo)(e^(n))/((1+(1)/(n))^(n^(2))) is

Evaluate lim_(ntooo) (1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2)).

The value of lim_(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-1)^n)/(n^2+1)]i s (a) 1 (b) -1 (c) 0 (d) none of these

Evaluate lim_(n->oo)n[1/((n+1)(n+2))+1/((n+2)(n+4))+....+1/(6n^2)]

Find the value of lim_(nrarroo)[(1)/(sqrt(2n-1)^(2))+(1)/(sqrt(4n-2^(2)))+...+(1)/(n)] .

The value of lim_(n->oo) [tan(pi/(2n)) tan((2pi)/(2n))........tan((npi)/(2n))]^(1/n) is

The value of lim_(nrarrprop) ((n+1)(2n+1))/n^2 is

Evaluate: lim_(n->oo)(((n+1)(n+2)...(n+n))^(1/n))/n

The value of ("lim")_(n->oo)[(n+1)^2 3-(n-1)^2 3] is_____

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Find the values of b for which the points (2b+3, b^(2)) lies above of ...

    Text Solution

    |

  2. If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):},show that underset(xt...

    Text Solution

    |

  3. The reciprocal of the value of: lim(n->oo)(1-1/(2^2))(1-1/(3^2))(1-1/(...

    Text Solution

    |

  4. Show that ("lim")(xrarr0) (e^(1/x)-1)/(e^(1/x)+1) does not exist

    Text Solution

    |

  5. If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,...

    Text Solution

    |

  6. Evaluate underset(xto2^(+))lim([x-2])/(log(x-2)), where [.] represents...

    Text Solution

    |

  7. Find the value of the limit ("lim")(xto0) (((sqrt(a+x))-(sqrt(a-x)))/...

    Text Solution

    |

  8. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

    Text Solution

    |

  9. lim(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to

    Text Solution

    |

  10. Consider the following graph of the function y=f(x). Which of the foll...

    Text Solution

    |

  11. If lim(xto0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  12. If underset(xtoa)lim[f(x)+g(x)]=2 and underset(xtoa)lim[f(x)-g(x)]=1, ...

    Text Solution

    |

  13. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

    Text Solution

    |

  14. Evaluate lim(x->0)(3x+|x|)/(7x-5|x|)

    Text Solution

    |

  15. The value of lim(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a)1/2 ...

    Text Solution

    |

  16. f(x)={x ,xlt=0 1,x=0,t h e nfin d("lim")(xvec0)f(x)x^2,x >0ife xi s t ...

    Text Solution

    |

  17. underset(xtooo)lim(e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to

    Text Solution

    |

  18. Evaluate: lim(x->oo) (1+1/(a+bx))^(c+dx) , where a,b,c and dare positi...

    Text Solution

    |

  19. If x1=3 and x(n+1)=sqrt(2+xn),ngeq1,t h e n""("lim")(xrarroo)xn is (...

    Text Solution

    |

  20. Evaluate: ("lim")(xtooo) (1+1/x)^x

    Text Solution

    |