Home
Class 11
MATHS
Show that Lt(ntooo)(3.2^(n+1)-4.5^(n+1))...

Show that `Lt_(ntooo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=-20/7`

Text Solution

Verified by Experts

The correct Answer is:
`-(20)/(7)`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE 1.1 (VERY SHORT ANSWER QUESTIONS)|23 Videos

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE 1.1 (SHORT ANSWER QUESTIONS)|18 Videos

  • LIMITS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|33 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Lt_(x to oo) (3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

Lt_(x to oo) (5.2^(n+1)+2.3^(n+1))/(3.2^(n)-7.3^(n))=

Lt_(n to oo)(6^(n)+5^(n))^(1//n)=

Lt_(ntooo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!)

Lt_(ntooo)sum_(r=0)^(n-1)(1)/(n+r)=

Lt_(ntooo)sum_(r=0)^(n-1)(n)/(n^(2)+r^(2))=

Lt_(ntooo)([1+4+9+......+n^(2)])/(n^(3))

Lt_(ntooo)sum_(r=1)^(n-1)(1)/(sqrt(n^(2)-r^(2)))=

Lt_(ntooo)(1)/(n)sum_(r=1)^(2n)(r)/(sqrt(n^(2)+r^(2)))=

Lt_(n to oo) ((1)/(1.5)+(1)/(5.9)+....+(1)/((4n-3)(4n+1)))=

AAKASH SERIES-LIMITS-SOLVED EXAMPLES
  1. underset(n to oo)lim (n(1^(3)+2^(3)+...+n^(3))^(2))/((1^(2)+2^(2)+...+...

    Text Solution

    |

  2. underset(n to oo)lim {(1)/(1.4)+(1)/(4.7)+(1)/(7.10)+....+(1)/((3n-2)(...

    Text Solution

    |

  3. Show that Lt(ntooo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=-20/7

    Text Solution

    |

  4. Lt(ntooo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!)

    Text Solution

    |

  5. Evaulate Lt(x to 0)(1+ax)^(b//x) where a,b are constants.

    Text Solution

    |

  6. Evaluate Lt(xtooo)(1+1/(ax+b))^(cx+d) where a, b, c, d are positive co...

    Text Solution

    |

  7. Find Lt(x to 0)((sinx)/(x))^((sinx)/(x-sinx))

    Text Solution

    |

  8. Find Lt(xtooo)((x+a)/(x+b))^(x), a, b are constants.

    Text Solution

    |

  9. Evaluate Lt(xtooo)((x^(2)+ax+b)/(x^(2)+cx+d))^(x) where a, b, c, d are...

    Text Solution

    |

  10. Find Lt(x to oo)((3x^(2)+1)/(4x^(2)-1))^((x^(3))/(1+x)) Caution : Th...

    Text Solution

    |

  11. Evaluate Lt(xto0)((a^(x)+b^(x)+c^(x))/3)^(1/x) where a,b,cinR^(+).

    Text Solution

    |

  12. If Lt(x to 0)(1+ax+bx^(2))^(2//x)=e^(3), find an and b.

    Text Solution

    |

  13. Find Lt(xto0)((sinx-x+x^(3)/6)/x^(5))

    Text Solution

    |

  14. Find a, b and c if Lt(xto0)((ae^(x)-bcosx+ce^(-x))/x^(2))=2

    Text Solution

    |

  15. Evaluate Lt(x to 0)[((1+x)^((1)/(x))-e+(ex)/(2))/(sin^(2)x)]

    Text Solution

    |

  16. Find Lt(x to oo)([ax+b])/(x) (a gt 0) where [.] denotes the GIF.

    Text Solution

    |

  17. Show that Lt(ntooo)([x]+[2x]+...+[nx])/n^(2)=x/2.

    Text Solution

    |

  18. Show that Lt(x to oo)(x-logx)/(x+logx)=1

    Text Solution

    |

  19. Show that Lt(x to 0)(e^(x)-1)/(x)=1

    Text Solution

    |

  20. Find Lt(xto0)(1-cosx)/x^(2)

    Text Solution

    |