Home
Class 11
MATHS
The value of ("lim")(n->oo)[(n+1)^2 3-(n...

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

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

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

The value of Lim_(n to oo) n!/((n+1)!-n!)

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

The value of lim_(ntooo) [root(3)((n+1)^(2))-root(3)((n-1)^(2))] is __________.

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

The value of lim_(n->oo)sum_(r=1)^(n)1/(5^n).^n C_r(sum_(t=0)^(r-1).^r C_t .3^t) is equal to

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

The value of lim_(n to oo) [(n!)/(n^(n))]^((1)/(n)) is equal to -

Evaluate: lim_(n->oo)(4^n+5^n)^(1/n)

If I_n=int_0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .), then find the value of ("lim")_(n to oo)I_ndot (a)0 (b) 1 (c) 2 (d) 1/2

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If underset(xto0)lim[1+x+(f(x))/(x)]^(1//x)=e^(3), then the value of l...

    Text Solution

    |

  2. Evaluate the limits using the expansion formula of functions lim(x->0)...

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate : lim(x->2)(x^2-5x+6)/(x^2-4)

    Text Solution

    |

  5. If: ("lim")(xrarr1)(1+a x+b x^2)^(c/((x-1)))=e^3, then Find the condit...

    Text Solution

    |

  6. Evaluate : lim(x->1)(2/(1-x^2)+1/(x-1))

    Text Solution

    |

  7. lim(x->0)((1+5x^2)/(1+3x^2))^(1//x^2)=

    Text Solution

    |

  8. Evaluate : lim(x->1)(x^2+x(log)e x-(log)e x-1)/((x^2-1)

    Text Solution

    |

  9. If L= lim(ntooo) (2xx3^(2)xx2^(3)xx3^(4)...xx2^(n-1)xx3^(n))^((1)/((n^...

    Text Solution

    |

  10. Evaluate lim(x->pi/4)(1-sin2x)/(1+cos4x)

    Text Solution

    |

  11. The value of underset(xtooo)lim(log(e)(log(e)x))/(e^(sqrt(x))) is .

    Text Solution

    |

  12. Evaluate : lim(x->pi/4)(1-cot^3x)/(2-cotx-cot^3x)

    Text Solution

    |

  13. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

    Text Solution

    |

  14. Evaluate lim(x->0)(sqrt(2+x)-sqrt(2))/x

    Text Solution

    |

  15. The value of lim(m->oo)(cos(x/m))^("m") is 1 (b) e (c) e^(-1) (...

    Text Solution

    |

  16. Find the value of underset(xto0)lim(sinx+log(e)(sqrt(1+sin^(2)x)-sinx)...

    Text Solution

    |

  17. The value of lim(hto0) (ln(1+2h)-2ln (1+h))/(h^2), is

    Text Solution

    |

  18. Evaluate : lim(x->oo)(a x^2+b x+c)/(dx^2+e x+f)dot

    Text Solution

    |

  19. The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...

    Text Solution

    |

  20. Evaluate underset(xto2)lim(sqrt((x+7))-3sqrt((2x-3)))/(root(3)((x+6))-...

    Text Solution

    |