Home
Class 12
MATHS
Prove that, lim(ntooo)(3.5+5.7+7.9+......

Prove that,
`lim_(ntooo)(3.5+5.7+7.9+.......+(2n+1)(2n+3))/(n^(3))=(4)/(3)`

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2017 (UNIT-1)|4 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2017 (UNIT-2)|6 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Prove that, lim_(ntooo)(1^(2)+2^(2)+3^(2)+.......+(n+2)^(2))/(n^(3))=(1)/(3)

Prove that, lim_(ntooo)e^((2)/(n)+1)=e

Prove that, lim_(ntooo)(3n^(3)-5n^(2)+4)/(5+3n^(2)-4n^(3))=-(3)/(4)

Prove that, lim_(ntooo)[(n)/(n^(2))+(n+1)/(n^(2))+(n+2)/(n^(2))+.......+(2n)/(n^(2))]=(3)/(2)

Prove that .^(2n)P_(n)={1.3.5.....(2n-1)}.2n

Prove that by using the principle of mathematical induction for all n in N : (1)/(3.5)+ (1)/(5.7)+ (1)/(7.9)+ ....+(1)/((2n+1)(2n+3))= (n)/(3(2n+3))

Prove that, lim_(ntooo)(sqrt(1+n+n^(2))-n)=(1)/(2)

Prove that , .^(2n)C_(n)=2^(n)(1.3.5...(2n-1))/(lfloorn)

Prove that (2n!)/(n!)={1.3.5.....(2n-1)}2^n

lim_(nrarroo) (3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-CALCULUS
  1. Find the derivative of |f(x)| with respect to x, hence, write down the...

    Text Solution

    |

  2. Prove that, lim(ntooo)e^((2)/(n)+1)=e

    Text Solution

    |

  3. Prove that, lim(ntooo)[(n)/(n^(2))+(n+1)/(n^(2))+(n+2)/(n^(2))+........

    Text Solution

    |

  4. Prove that, lim(ntooo)(3n^(3)-5n^(2)+4)/(5+3n^(2)-4n^(3))=-(3)/(4)

    Text Solution

    |

  5. Prove that, lim(xtooo)(4x^(3)-5x^(2)+6x+9)/(3x^(4)+4x^(2)-11)=0

    Text Solution

    |

  6. Prove that, lim(ntooo)(1^(2)+2^(2)+3^(2)+.......+(n+2)^(2))/(n^(3))=...

    Text Solution

    |

  7. Prove that, lim(xtooo)((1)/(4)+(1)/(4^(2))+(1)/(4^(3))+.......+(1)/(...

    Text Solution

    |

  8. Prove that, lim(xtooo)(1+2+3+......"to" (4x+1)"terms")/((x+1)^(2))=8

    Text Solution

    |

  9. Prove that, lim(ntooo)(3.5+5.7+7.9+.......+(2n+1)(2n+3))/(n^(3))=(4)...

    Text Solution

    |

  10. Prove that, lim(xtooo)sqrt(x)(sqrt(x+3)-sqrtx)=(3)/(2)

    Text Solution

    |

  11. Prove that, lim(ntooo)(sqrt(1+n+n^(2))-n)=(1)/(2)

    Text Solution

    |

  12. Evaluate : lim(xtooo)(pe^(x)+qe^(-x))/(re^(x)+se^(-x))(rne0)

    Text Solution

    |

  13. Evaluate : lim(xto-oo)(ae^(x)+be^(-x))/(ce^(x)+de^(-x))(dne0)

    Text Solution

    |

  14. Find from first principle the differential coefficients of the followi...

    Text Solution

    |

  15. Find from first principle the differential coefficients of the followi...

    Text Solution

    |

  16. Find from first principle the differential coefficients of the followi...

    Text Solution

    |

  17. Find from first principle the differential coefficients of the followi...

    Text Solution

    |

  18. Find the differential coefficients of the following functions : sin(...

    Text Solution

    |

  19. Find from first principle the differential coefficients of the followi...

    Text Solution

    |

  20. Find from first principle the differential coefficients of the followi...

    Text Solution

    |