Home
Class 11
MATHS
Evaluate: ("lim")(xvec0)(1-cosm x)/(1-co...

Evaluate: `("lim")_(xvec0)(1-cosm x)/(1-cosn x)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate: ("lim")_(xvec0)(x2^x-x)/(1-cosx)

Evaluate: ("lim")_(xvec0)(e^x^2-cosx)/(x^2)

Evaluate: ("lim")_(xvec0)(cot2x-cos e c2x)/x

Evaluate: ("lim")_(xvec0)(tanx-sinx)/(x^3)

Evaluate: ("lim")_(xvec0) ((1+x)^(1/x)-e+1/2e x)/(x^2)

Evaluate: ("lim")_(xvec0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

Evaluate ("lim")_(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

Evaluate : ("lim")_(xvec1)(2/(1-x^2)+1/(x-1))

(lim)_(xvec-pi/2 )[1+(cos x)^(cos x)]^2=

Evaluate : ("lim")_(xvec2)(x^2-5x+6)/(x^2-4)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: ("lim")(xto pi/4)(sqrt(2)cosx-1)/(cotx-1)

    Text Solution

    |

  2. lim(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the gre...

    Text Solution

    |

  3. Evaluate: ("lim")(xvec0)(1-cosm x)/(1-cosn x)

    Text Solution

    |

  4. lim(x->oo)cot^(-1)(x^(-a)loga x)/(sec^(-1)(a^xlogx a)),(a >1)is equal ...

    Text Solution

    |

  5. Evaluate: lim(x->0)(tan2x-x)/(3x-sinx)

    Text Solution

    |

  6. The value of ("lim")(xveca)sqrt(a^2-x^2)cot(pi/2)sqrt((a-x)/(a+x)) is ...

    Text Solution

    |

  7. Evaluate: ("lim")(xvec0)(cot2x-cos e c2x)/x

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...

    Text Solution

    |

  12. Evaluate: ("lim")(xrarr0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2...

    Text Solution

    |

  13. Evaluate: ("lim")(xvec0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

    Text Solution

    |

  14. Evaluate:lim(n->oo)n{sqrt((1-cos(1/n))sqrt((1-cos(1/n))sqrt((1-cos(1/n...

    Text Solution

    |

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

    Text Solution

    |

  16. Evaluate ("lim")(n→oo){cos(x/2)cos(x/4)cos(x/8)... cos(x/(2^n))}

    Text Solution

    |

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

    Text Solution

    |

  18. If x1 and x2 are the real and distinct roots of a x^2+b x+c=0, then ...

    Text Solution

    |

  19. If lim(x->0)(1+a x+b x^2)^(2/x)=e^3, then find the value of a and b.

    Text Solution

    |

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

    Text Solution

    |