Home
Class 12
MATHS
Find the following limits: lim(xrarr2)(x...

Find the following limits: `lim_(xrarr2)(x^3-12x+16)/(3x^3-8x^2-4x+16)`

Text Solution

Verified by Experts

`lim_(xto2)(x^3-12x+16)/(3x^3-8x^2-4x+16)` (0/0 form)
`=`lim_(xto2)(3x^2-12)/(9x^2-16x-4)` (0/0 form)
`lim_(xto2)(6x)/(18x-16)=12/20=3/5`
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES (APPLICATION OF DEFINITE INTEGRALS)

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

Similar Questions

Explore conceptually related problems

Find the following limits: lim_(xrarr1)x^(1/(1-x)

Find the following limits: lim_(xrarr0+)(e^(-1/x))/(x)

Find the following limits: lim_(xrarr0)(1+x^2)^(1/x)

Find the following limits: lim_(xrarr0+)x^(sinx)

Find the following limits: lim_(xrarr0)(sinx/x)^(1/x)

Find the following limits: lim_(xrarr1) (lnx)/(x^2-1)

Find the following limits: lim_(xrarr0)e^(-1/x^2)/x^2

Find the following limits: lim_(xrarr0) tanax//x

Find the following limits: lim_(xrarr2)(4^x-2^(3+x)+16)/((x-2)^2)

Find the following limits: lim_(xrarr0) (tanx-sinx)/(x^3)

MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the following limits: lim(xrarr(pi)/2) (1-sinx)/cosx

    Text Solution

    |

  2. Find the following limits: lim(xrarr0) (tanx-sinx)/(x^3)

    Text Solution

    |

  3. Find the following limits: lim(xrarr2)(x^3-12x+16)/(3x^3-8x^2-4x+16)

    Text Solution

    |

  4. Find the following limits: lim(xrarr1)(In(2-x))/(1-x^2)

    Text Solution

    |

  5. Find the following limits: lim(xrarr0+)(sqrt(1-x)-sqrt(1+x))/(sqrtx)

    Text Solution

    |

  6. Find the following limits:lim(xrarr1)(2sqrtx-3 root(3)(x)+1)/((x-1)^2)

    Text Solution

    |

  7. Find the following limits:lim(xrarrinfty)(x^3-3x+1)/(2x^3-7x^2+5)

    Text Solution

    |

  8. Find the following limits:lim(xrarr2)(4^x-2^(3+x)+16)/((x-2)^2)

    Text Solution

    |

  9. Find the following limits:lim(xrarr0+)(ln tanx)/(ln sin 2x)

    Text Solution

    |

  10. Find the following limits:lim(xrarr0)(e^x-e^(-x)-2sinx)/(xsinx)

    Text Solution

    |

  11. Find the following limits:lim(xrarrinfty)(In(1/x))/(xe^x)

    Text Solution

    |

  12. Find the following limits:lim(xrarr0+)(e^(-1/x))/(x)

    Text Solution

    |

  13. Find the following limits:lim(xrarrinfty)(x^n+x^(-n))/(x+2)^n

    Text Solution

    |

  14. Find the following limits:lim(xrarr0)(e^x-e^(-x))/(xcosx)

    Text Solution

    |

  15. Find the following limits:lim(xrarrinfty)(sin^(-1)x)/(x)

    Text Solution

    |

  16. Find the following limits:lim(xrarr0+)logtanx tan2x

    Text Solution

    |

  17. Find the following limits:lim(xrarrpi/2)(tanx)^cosx

    Text Solution

    |

  18. Find the following limits:lim(xrarr1)x^(1/(1-x)

    Text Solution

    |

  19. Find the following limits:lim(xrarr0+)x^(sinx)

    Text Solution

    |

  20. Find the following limits:lim(xrarr1)(1/(x-1)-1/(lnx))

    Text Solution

    |