Home
Class 12
MATHS
lim(n to oo) {(2^(1/2)-2^(1/3))(2^(1/2)-...

`lim_(n to oo) {(2^(1/2)-2^(1/3))(2^(1/2)-2^(1/5)). . . (2^(1/2)-2^(1/(2n+1)))}` is equal to

A

`1/(sqrt2)`

B

0

C

`sqrt2`

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos
  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

lim_(n rarr oo)(3^(n+1)+2^(n+2))/(3^(n-1)+2^(n-2)) =

FInd lim_(n rarr oo)(2n-1)2^(n)(2n+1)^(-1)2^(1-n)

lim_(n to oo)[(n+1)/(n^(2)+1^(2))+(n+2)/(n^(2)+2^(2))+....+(1)/(n)]

lim _(n to oo) ( 1/(n^(2)+1^(2)) + 1/(n^(2)+2^(2)) +...1/(2n^(2))) equals

lim_(n to oo) (1^(2)+2^(2)+3^(2)+…+n^(2))/(n^(3)) is equal to

lim_ (n rarr oo) (2 ^ (n) -1) / (2 ^ (n) +1)

lim_ (n rarr oo) (2 ^ (n) -1) / (2 ^ (n) +1)

lim_(nto oo) (2^n+5^n)^(1//n) is equal to

lim_(n rarr oo)(1)/(n^(3))(sqrt(n^(2)+1)+2sqrt(n^(2)+2^(2))+...+n sqrt(n^(2)+n^(2))) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Among the statements: (S1) : 2023^(2022) - 1999^(2022) is divisible b...

    Text Solution

    |

  2. If the coefficients of x^7 in (ax^2 + 1/(2bx))^11 and x^(-7) in (ax-1/...

    Text Solution

    |

  3. lim(n to oo) {(2^(1/2)-2^(1/3))(2^(1/2)-2^(1/5)). . . (2^(1/2)-2^(1/(2...

    Text Solution

    |

  4. A plane P contains the line of intersection of the plane vecr.(hati+ha...

    Text Solution

    |

  5. In a group of 100 persons 75 speak English and 40 speak Hindi.Each per...

    Text Solution

    |

  6. If the tangents at the points P and Q on the circle x^2+y^2-2x+y=5 mee...

    Text Solution

    |

  7. Let f(x) be a function satisfying f(x)+f(pi-x)=pi^2 , forall x in RR ....

    Text Solution

    |

  8. Among the statements: (S1) : (p implies q) vv ((~p) wedge q)) is a ta...

    Text Solution

    |

  9. All the letters of the word PUBLIC are written in all possible orders ...

    Text Solution

    |

  10. If gcd (m,n)=1 and 1^2-2^2+3^2-4^2+. . . +(2021)^2-(2022)^2+(2023)^2=1...

    Text Solution

    |

  11. The number of points, where the curve y=x^5-20x^3+50x+2 crosses the x-...

    Text Solution

    |

  12. Let f(x)=x/(1+x^n)^(1/n), x in RR-{-1}, n in NN , n gt 2 If f^n(x)=(fo...

    Text Solution

    |

  13. If the mean and variance of the frequency distribution are 9 and ...

    Text Solution

    |

  14. The value of tan 9^@-tan 27^@-tan 63^@+tan 81^@ is

    Text Solution

    |

  15. If the lines (x-1)/2=(2-y)/-3=(z-3)/alpha and (x-4)/5=(y-1)/2=z/beta i...

    Text Solution

    |

  16. If (20)^19+2(21)(20)^18+3(21)^2(20)^17+. . .+20(21)^19=k(20)^19, then ...

    Text Solution

    |

  17. The number of 4-letter words, with or without meaning , each consistin...

    Text Solution

    |

  18. Let the eccentricity of an ellipse x^2/a^2+y^2/b^2=1 is reciprocal to ...

    Text Solution

    |

  19. For alpha, beta, z in CC and lamda gt 1, if sqrt(lamda-1) is the radiu...

    Text Solution

    |

  20. Let a curve y=f(x), x in (0,oo) pass through the points P(1,3/2) and Q...

    Text Solution

    |