Home
Class 11
MATHS
Evaluate the following limits : lim(xra...

Evaluate the following limits :
`lim_(xrarr0)(5^x-4^x)/(3^x-1)`

Text Solution

Verified by Experts

`(In5/4)/(In3)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Evaluate the following limits in lim_(xrarr3)x+3

Evaluate the following limits in lim_(xrarr0)x secx

Evaluate the following limits in lim_(xrarr0)(cos2x-1)/(cosx-1)

Evaluate the following limits in lim_(xrarr4)(4x+3)/(x-2)

Evaluate the following limits in lim_(xrarr0)(sinax)/(bx)

Evaluate the following limits in lim_(xrarr0)(cosx)/(pi-x)

Evaluate the following limits : lim_(xrarr0)(xtan2x-2xtanx)/((1-cos2x)^2)

Evaluate the following limits in lim_(xrarr0)(ax+b)/(cx+1)

Evaluate the following limits in lim_(xrarr0)((x+1)^(5)-1)/(x)

Evaluate the following limits : lim_(xrarr0)(1+|sinx|)^(1/x)

PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), the...

    Text Solution

    |

  2. Number of point of discontinuity of f(x)=tan^2x-sec^2x in (0, 2pi) is

    Text Solution

    |

  3. Evaluate the following limits : lim(xrarr0)(5^x-4^x)/(3^x-1)

    Text Solution

    |

  4. Evaluate the following limits : lim(nrarrinfty)(1^2+2^2+3^2+...+n^2)/...

    Text Solution

    |

  5. Evaluate the following limits : lim(xrarrpi/2)(sec x-tan x)

    Text Solution

    |

  6. Evaluate the following limits : lim(xrarrinfty)(x-sqrt(x^2+ x))

    Text Solution

    |

  7. Evaluate the following limits : lim(xrarr0)sqrt((1/2(1-cos2x))/x

    Text Solution

    |

  8. Evaluate the following limits : lim(xrarr0)(1+|sinx|)^(1/x)

    Text Solution

    |

  9. Evaluate the following limits : lim(xrarr1)(1-x)tan frac(pix)2

    Text Solution

    |

  10. Evaluate the following limits : lim(xrarrinfty)x(e^(1/x)-1)

    Text Solution

    |

  11. Evaluate the following limits : lim(xrarrpi/3)sin(pi/3-x)/(2cosx-1)

    Text Solution

    |

  12. Evaluate the following limits : lim(nrarrinfty)n(x^(1/n)-1), xgt0

    Text Solution

    |

  13. Find the set of points where the following functions are discontinuous...

    Text Solution

    |

  14. Find the set of points where the following functions are discontinuous...

    Text Solution

    |

  15. Find the set of points where the following functions are discontinuous...

    Text Solution

    |

  16. Find the set of points where the following functions are discontinuous...

    Text Solution

    |

  17. Find the set of points where the following functions are discontinuous...

    Text Solution

    |

  18. Find the set of points where the following functions are discontinuous...

    Text Solution

    |

  19. Let f(x) = {((x^2-4)/(x+2), x lt -3), (Ina, x=-3), (a+bx, x gt -3):}. ...

    Text Solution

    |

  20. Let f(x) = {(ax+1, x lt 1), (3, x=1), (bx^2+1, x gt 1):}. For what val...

    Text Solution

    |