Home
Class 12
MATHS
If lim (xto1)(x^(1)+x^(2)+x^(3)+"..."+x^...

If `lim _(xto1)(x^(1)+x^(2)+x^(3)+"..."+x^(n)-n)/(x-1)=820,(nin N)`
then the value of n is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

lim_(xto1)(x+x^(4)+x^(9)+……….+x^(n^(2))-n)/(x-1) is

lim_(x rarr1)((x+x^(2)+x^(3)++x^(n))-n)/(x-1)

If lim_(x rarr 1)((x+x^2+x^3+....+x^n-n)/(x-1))=820 , then find n.

Evaluate lim_(xto1)(x+x^(2)+…….+x^(n)-n)/(x-1)

If lim_(xrarr1)(x+x^2+x^3+....+x^n-n)/(x-1)=5050 , then n=

If (lim)_(x->0)(sin(n x)[(a-n)n x-t a n x])/(x^2)=n (n >0) then the value of ' a ' is equal to 1/n b. n^2+1 c. (n^2+1)/n d. none

The value of lim_(xrarr1)(x+x^(2)+….+x^(n)-n)/(x-1) is

The value of lim_(x rarr1)(x^(n)+x^(n-1)+x^(n-2)+...x^(2)+x-n)/(x-1)

Lim it_(n rarr oo){(1+x)(1+x^(2))(1+x^(4))......(1+x^(2^(n)))}= if |x|<1 has the value equal to

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. The number of intergral values of k for which the line, 3x+4y=k inters...

    Text Solution

    |

  2. Let veca , vecb and vecc be three unit vectors such that |veca - vecb|...

    Text Solution

    |

  3. If lim (xto1)(x^(1)+x^(2)+x^(3)+"..."+x^(n)-n)/(x-1)=820,(nin N) the...

    Text Solution

    |

  4. Let R(1) and R(2) be two relation defined as follows : R(1) = ...

    Text Solution

    |

  5. Suppose f(x) is a polynomial of degree four , having critical poin...

    Text Solution

    |

  6. Let the latus ractum of the parabola y^(2) = 4x be the comon cho...

    Text Solution

    |

  7. underset(x to a)(Lim) ((a+2x)^((1)/(3)) - (3x)^((1)/(3)))/((3a+x)^((1)...

    Text Solution

    |

  8. If x^(3) dy + xy dx = x^(2) dy + 2y dx , y (2) = e and x gt 1, t...

    Text Solution

    |

  9. The probabilty that a randomly chosen 5 - digit number is made fo...

    Text Solution

    |

  10. Let a,b, c in R be such that a^(2) + b^(2) + c^(2) = 1 . If a cos ...

    Text Solution

    |

  11. Let p,q r be three statements such that the truth value of (p ^^ q)...

    Text Solution

    |

  12. The set of all real values of lambda for which the quadratic equ...

    Text Solution

    |

  13. Let A be a 3 xx 3 matrix such that adj A = [{:(,2,-1,1),(,-1,0,2),(,1...

    Text Solution

    |

  14. If the value of the integral int(0)^(1//2) (x^(2))/((1-x^(2))^(3//...

    Text Solution

    |

  15. Let e(1) and e(2) be the ecentricities of the ellispe (x^(2))/(25...

    Text Solution

    |

  16. If the surface area of a cube is increasing at rate of 3.6 cm^(2...

    Text Solution

    |

  17. If z(1),z(2) are complex number such that Re(z(1) ) = |z(1) - 1| , R...

    Text Solution

    |

  18. If a Delta ABC has vertices A ( - 1,7) , B (-7,1) and C(5,-5) then ...

    Text Solution

    |

  19. The plane which bisects the line joining the points (4, -2, 3) and...

    Text Solution

    |

  20. Let x(i) (1 le I le 10) be ten observation of a random variable X...

    Text Solution

    |