Home
Class 11
MATHS
If: ("lim")(xrarr1)(1+a x+b x^2)^(c/((x-...

If: `("lim")_(xrarr1)(1+a x+b x^2)^(c/((x-1)))=e^3,` then Find the conditions of a,b,c

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

If lim_(xrarr0)(1+ax+bx^2)^(2//x)=e^3 , then the value of a and b, is :

If lim_(xto1) (1+ax+bx^(2))^((c)/((x-1)))=e^(3) , then find the value of bc is _________.

Prove that lim_(xrarr1)(x^2-sqrtx)/(sqrtx-1)=3

Evaluate : lim_(xrarr1)(x+x^2+x^3+...+x^n-n)/(x-1)

Evaluate : lim_(xrarr1)(x^(15)-1)/(x^(10)-1)

underset(xrarr1)(lim)(2/(1-x^2)+1/(x-1))

Evaluate lim_(xrarr1)(x^(P+1)-(P+1)x+P)/((x+1)^2)

If lim_(xrarr0)(axe^x-blog(1+x))/x^2=3 ,then the values of a ,b are respectively

Evaluate: lim_(xrarr0)(sqrt(1+x+x^2)-1)/x

Evaluate lim_(xrarr1)(sqrt(1-cos2(x-1)))/(x-1)

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. The value of ("lim")(n->oo)[(n+1)^2 3-(n-1)^2 3] is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The value of lim(hto0) (ln(1+2h)-2ln (1+h))/(h^2), is

    Text Solution

    |

  16. Evaluate : lim(x->oo)(a x^2+b x+c)/(dx^2+e x+f)dot

    Text Solution

    |

  17. The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...

    Text Solution

    |

  18. Evaluate underset(xto2)lim(sqrt((x+7))-3sqrt((2x-3)))/(root(3)((x+6))-...

    Text Solution

    |

  19. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

    Text Solution

    |

  20. Evaluate: lim(x->oo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

    Text Solution

    |