Home
Class 11
MATHS
underset(xtooo)lim(x(logx)^(3))/(1+x+x^(...

`underset(xtooo)lim(x(logx)^(3))/(1+x+x^(2))` equals

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) (x(logx)^(3))/(1+x+x^(2)) equals

underset(x rarr 1)lim (x^(3)-1)/(x^(2)-1) =

If underset(x to0)lim(axe^(x)-blog(1+x))/(x^(2))=3 then values of a and b respectively-

underset(xrarr3)"lim"(x^(3)-27)/(x^(2)-9)= ?

underset(xto0)lim((1-cos2x)(3+cosx))/(xtan4x) is equal to

underset(xrarr0)"lim"(e^(3x)-1)/(x) =

Show that, underset(x to 0) lim (log(1+x+x^(2))+log(1-x+x^(2)))/(sec x-cos x)=1

Evaluate the following limits : underset(x to 0)lim (12^(x)-2^(2x)-3^(x)+1)/(x^(2))

underset(x to 0)lim((1-cos2x)(3+cosx))/(xtan4x) is equal to-

underset(xrarr0)"lim"(a^(2x)-1)/(x) =

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. f(x) is the integral of (2sinx-sin2x)/(x^3),x!=0. Find lim(x->0)f^...

    Text Solution

    |

  2. Evaluate underset (h to 0) lim ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .

    Text Solution

    |

  3. underset(xtooo)lim(x(logx)^(3))/(1+x+x^(2)) equals

    Text Solution

    |

  4. underset(xto0)lim((2^(m)+x)^(1//m)-(2^(n)+x)^(1//n))/(x) is equal to

    Text Solution

    |

  5. lim(x to 1) (1-x)tan((pix)/2)

    Text Solution

    |

  6. If f(x)={sinx ,x!=npi,n in I2,ot h e r w i s e g(x)={x^2+1,x!=0,4,x=...

    Text Solution

    |

  7. ("lim")(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e ...

    Text Solution

    |

  8. lim(x to pi/2)sin(xcosx)/("cos"(xsinx)) is equal to (a) 0 (b) pi/2 ...

    Text Solution

    |

  9. If lim xto0(x^(-3)sin3x+a x^(-2)+b) exists and is equal to 0, then (a)...

    Text Solution

    |

  10. If lim(xto0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  11. lim(xto1) ((1-x)(1-x^(2))...(1-x^(2n)))/({(1-x)(1-x^(2))...(1-x^(n))}^...

    Text Solution

    |

  12. The value of lim(x->0)([(100 x)/(sinx)]+[(99sinx)/x]) (where [.] repre...

    Text Solution

    |

  13. The value of lim(x->1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(sin^(-...

    Text Solution

    |

  14. The value of underset(xtooo)lim((2^(x^(n)))e^((1)/(x))-(3^(x^(n)))e^((...

    Text Solution

    |

  15. Let lim(xto0) ([x]^(2))/(x^(2))=m, where [.] denotes greatest integer....

    Text Solution

    |

  16. underset(xto1)lim(xsin(x-[x]))/(x-1), where [.] denotes the greatest i...

    Text Solution

    |

  17. underset(xto0)lim[(sin(sgn(x)))/((sgn(x)))], where [.] denotes the gre...

    Text Solution

    |

  18. underset(xtooo)lim(2+2x+sin2x)/((2x+sin2x)e^(sinx)) is equal to

    Text Solution

    |

  19. If f(x)=(cosx)/((1-sinx)^(1/3)) then (a) ("lim")(xrarrpi/2)f(x)=-oo (b...

    Text Solution

    |

  20. lim(x->-oo)(x^2*tan(1/x))/(sqrt(8x^2+7x+1)) is

    Text Solution

    |