Home
Class 11
MATHS
underset(xtooo)limf(x)," where "(2x-3)/(...

`underset(xtooo)limf(x)," where "(2x-3)/(x)ltf(x)lt(2x^(2)+5x)/(x^(2))AAxgt0," is "`_____.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

lim_(xtooo) f(x)," where "(2x-3)/(x)ltf(x)lt(2x^(2)+5x)/(x^(2))AAxgt0," is " _____.

The value of lim_(xto0)f(x) where f(x)=(x^(3)+x^(2))/(2x^(3)-27x^(2))

underset(x to 0)"Lt" (e^(2x) +sinx-1)/x

underset(x to 4)"Lt" (sqrt(x)-2)/(x-4) =?

underset(x to oo)"Lt"((2x-1)^(20).(8x-1)^(30))/(4x+2)^(50)

underset(x to 1)"Lt"(1-x^(1/3))/(1-x^(2/3))

Evaluate lim_(xtooo) ((x^(2)+x-1)/(3x^(2)+2x+4))^((3x^(2)+x)/(x-2))

Evaluate : underset(xrarroo)"lim"(4x^(3)-3x^(2)+6x-2)/(3+5x^(2)+5x^(3))

underset(x to a)"Lt"(1-cos(x-a))/(x-a)^2

Evaluate : underset(xrarr2)"lim"(x^(2)-3x+2)/(x^(3)-5x+2) .

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If f(x)={{:(x-1", "xge1),(2x^(2)-2", "xlt1):},g(x)={{:(x+1", "xg...

    Text Solution

    |

  2. Evaluate underset(xto0)lim{(sinx-x+(x^(3))/(6))/(x^(5))}.

    Text Solution

    |

  3. underset(xtooo)limf(x)," where "(2x-3)/(x)ltf(x)lt(2x^(2)+5x)/(x^(2))A...

    Text Solution

    |

  4. Evaluate underset(xto0)lim(sinx+log(1-x))/(x^(2)).

    Text Solution

    |

  5. If underset(xto0)lim[1+x+(f(x))/(x)]^(1//x)=e^(3), then the value of l...

    Text Solution

    |

  6. Evaluate the limits using the expansion formula of functions lim(x->0)...

    Text Solution

    |

  7. The value of ("lim")(n->oo)[(n+1)^2 3-(n-1)^2 3] is

    Text Solution

    |

  8. Evaluate : lim(x->2)(x^2-5x+6)/(x^2-4)

    Text Solution

    |

  9. If: ("lim")(xrarr1)(1+a x+b x^2)^(c/((x-1)))=e^3, then Find the condit...

    Text Solution

    |

  10. Evaluate : lim(x->1)(2/(1-x^2)+1/(x-1))

    Text Solution

    |

  11. lim(x->0)((1+5x^2)/(1+3x^2))^(1//x^2)=

    Text Solution

    |

  12. Evaluate : lim(x->1)(x^2+x(log)e x-(log)e x-1)/((x^2-1)

    Text Solution

    |

  13. If L= lim(ntooo) (2xx3^(2)xx2^(3)xx3^(4)...xx2^(n-1)xx3^(n))^((1)/((n^...

    Text Solution

    |

  14. Evaluate lim(x->pi/4)(1-sin2x)/(1+cos4x)

    Text Solution

    |

  15. The value of underset(xtooo)lim(log(e)(log(e)x))/(e^(sqrt(x))) is .

    Text Solution

    |

  16. Evaluate : lim(x->pi/4)(1-cot^3x)/(2-cotx-cot^3x)

    Text Solution

    |

  17. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

    Text Solution

    |

  18. Evaluate lim(x->0)(sqrt(2+x)-sqrt(2))/x

    Text Solution

    |

  19. The value of lim(m->oo)(cos(x/m))^("m") is 1 (b) e (c) e^(-1) (...

    Text Solution

    |

  20. Find the value of underset(xto0)lim(sinx+log(e)(sqrt(1+sin^(2)x)-sinx)...

    Text Solution

    |