Home
Class 11
MATHS
Evaluate the limit: ("lim")(nrarroo)((1...

Evaluate the limit: `("lim")_(nrarroo)((1^2-2^2+3^3-4^2+5^2+ nt e r m s)/(n^2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate the limit: ("lim")_(xvecoo)((x+2)/(x+1))^(x+3)

Evaluate the limit: ("lim")_(nrarroo)cos(pisqrt(n^2+n)) when n is an integer

Evaluate lim_(ntooo) ((1^(2)-2^(2)+3^(2)-4^(2)+5^(2)+...n" terms"))/(n^(2)).

Evaluate the following limit: (lim)_(x->-1)(4x^2+2)

Evaluate the following limit: (lim)_(n->oo)(1^3+2^3+ n^3)/((n-1)^4)

Evaluate the limit: lim_(x->1)((2x-3)(sqrt(x)-1))/(2x^2)

Evaluate the following limit: (lim)_(n->oo)(1/(n^2)+2/(n^2)+3/(n^2)++(n-1)/(n^2\ ))

Evaluate the following limit: (lim)_(x->5)(x^2-7x+12)/(x^2-3x-4)

Evaluate the following limit: (lim)_(x->4)(x^2-7x+12)/(x^2-3x-4)

The value of lim_(nrarroo)(1^(2)-2^(2)+3^(2)-4^(2)+5^(2)….+(2n+1)^(2))/(n^(2)) is equal to

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate the limit ("lim")(xrarr0)(sin3x)/x

    Text Solution

    |

  2. The integer n for which lim(x->0)((cosx-1)(cosx-e^x))/(x^n) is finit...

    Text Solution

    |

  3. Evaluate the limit: ("lim")(nrarroo)((1^2-2^2+3^3-4^2+5^2+ nt e r m s...

    Text Solution

    |

  4. Let ("lim")(xvec1)(x^a-a x+a-1)/((x-1)^2)=f(a)dot Then the value of f(...

    Text Solution

    |

  5. Evaluate the limit: ("lim")(x rarr a)(sqrt(3x-a)-sqrt(x+a))/(x-a)

    Text Solution

    |

  6. f(x)=(3x^2+a x+a+1)/(x^2+x-2) and lim(x->-2)f(x) exists. Then th...

    Text Solution

    |

  7. Evaluate the limit: ("lim")(xvecoo)[sqrt(a^2x^2+a x+1)-sqrt(a^2x^2+1)]

    Text Solution

    |

  8. lim(x->0)(1-sqrt(cos2x)*root(3)(cos3x).....root(n)(cosnx))/x^2 has ...

    Text Solution

    |

  9. Evaluate the limit: ("lim")(x vec 1)(sum (k=1) ^100 x^k-100)/(...

    Text Solution

    |

  10. Let Sn=1+2+3++n and Pn=(S2)/(S2-1)dot(S3)/(S3-1)dot(S4)/(S4-1)...(Sn)...

    Text Solution

    |

  11. If a1=1a n da(n+1)=(4+3an)/(3+2an),ngeq1,a n dif("lim")(nvecoo)an=a , ...

    Text Solution

    |

  12. If L=("lim")(xvecoo){x-x^2(log)e(1+1/x)}, then the value of 8L is

    Text Solution

    |

  13. Evaluate the limit: ("lim")(nrarroo)cos(pisqrt(n^2+n))when n is an in...

    Text Solution

    |

  14. Evaluate: lim(x->a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x)),(a!=0)...

    Text Solution

    |

  15. Evaluate the limit: ("lim")(xvec0)(sqrt(2)-sqrt(1+cosx))/(sin^2x)

    Text Solution

    |

  16. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

    Text Solution

    |

  17. Evaluate the limit: ("lim")(hvec0)[1/(h(8+h)^(1/3))-1/(2h)]

    Text Solution

    |

  18. Evaluate: lim(x->0)(e-(1+x)^(1/x))/x

    Text Solution

    |

  19. Using lim(theta -> 0) (sintheta/theta)=1 prove that the area of circ...

    Text Solution

    |

  20. Evaluate: ("lim")(xvec1)sec(pi/(2^x))logxdot

    Text Solution

    |