Home
Class 11
MATHS
lim(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(...

`lim_(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)=`

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_(x->0)log(1+2x)/x

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

Evaluate: lim_(x->0)(log(5+x)-"log"(5-x))/x

The value of lim_(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a) 1/2 (b) -1/2 (c) 0 (d) none of these

Evaluate: lim_(x-0)((e^x-1)log_5(1+5x))/(sin^2x)

Show that : lim_(xto0)[(1)/(x)-(log(1+x))/(x^(2))]=(1)/(2)

lim_(x->oo)cot^(-1)(x^(-a)log_a x)/(sec^(-1)(a^xlog_x a)),(a >1) is equal to (a) 2 (b) 1 (c) (log)_a2 (d) 0

Evaluate: lim_(x->a)("log"(x-a))/(log(e^x-e^a))

Evaluate : lim_(x->1)(x^2+x(log)_e x-(log)_e x-1)/((x^2-1)

lim_(x to 0) (1-cosx)/x^2 = ?

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. The value of ("lim")(x->a)sqrt(a^2-x^2)cot(pi/2sqrt((a-x)/(a+x))) is (...

    Text Solution

    |

  2. Evaluate: lim(x->0)(cot2x-cos e c2x)/x

    Text Solution

    |

  3. lim(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)=

    Text Solution

    |

  4. Evaluate: lim(n->oo)ncos(pi/(4n))sin(pi/(4n))

    Text Solution

    |

  5. The value of lim(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-...

    Text Solution

    |

  6. Evaluate: ("lim")(h->0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(s...

    Text Solution

    |

  7. Evaluate: lim(x->0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2)/2)cos...

    Text Solution

    |

  8. Evaluate: lim(x->0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

    Text Solution

    |

  9. Evaluate: lim(n->oo)n^2{sqrt((1-cos(1/n))sqrt((1-cos(1/n)) sqrt((1-cos...

    Text Solution

    |

  10. Evaluate: ("lim")(x→0,y→0)(y^2+sinx)/(x^2+siny^2) where (x , y)→(0,0)...

    Text Solution

    |

  11. Evaluate underset(ntooo)lim{cos((x)/(2))cos((x)/(4))cos((x)/(8))...cos...

    Text Solution

    |

  12. Find the value of alpha so that lim(x->0)1/(x^2)(e^(alphax)-e^x-x)=3/...

    Text Solution

    |

  13. If x(1) and x(2) are the real and distinct roots of ax^(2)+bx+c=0 then...

    Text Solution

    |

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

    Text Solution

    |

  15. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

    Text Solution

    |

  16. If ("lim")(x tooo){(x^2-1)/(x+1)-(a x+b)}=2, then find the value of a ...

    Text Solution

    |

  17. Evaluate: lim(x->0)(e^x-1-x)/(x^2)

    Text Solution

    |

  18. If ("lim")(x to0)(a e^x-b)/x = 2 , then find the value of a and bdot

    Text Solution

    |

  19. Evaluate: ("lim")(xto1)("xsin"{x})/({x-1}) if exists, where {x} is the...

    Text Solution

    |

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

    Text Solution

    |