Home
Class 11
MATHS
The integer n for which lim(x->0)((cosx...

The integer `n` for which `lim_(x->0)((cosx-1)(cosx-e^x))/(x^n)` is finite nonzero number is ________

Text Solution

AI Generated Solution

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

(lim)_(x->0)(cos2x-1)/(cosx-1)

lim_(xrarr0)(cos 2x-1)/(cosx-1)

(lim)_(x->0)(cosx)/(pi-x)

Find the integral value of n for which lim_(x->0)(cos^2x-cosx-e^xcosx+e^x-(x^3)/2)/(x^n) is a finite nonzero number

lim_(xto0)((1-cosx)(3+cosx))/(x tan 4x) is equal to

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

lim_(x rarr0)(sin^2x)/(1-cosx)

lim_(x->0)(x(e^x-1))/(1-cosx) is equal to

value of lim_(x->0)(1-cos^3x)/(xsinx*cosx) is

lim_(xrarroo) (cosx)/(x)=?

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Let m and n be two positive integers greater than 1.If lim(alpha->0) (...

    Text Solution

    |

  2. Evaluate: ("dy/dx") of logsinx+tanx

    Text Solution

    |

  3. The integer n for which lim(x->0)((cosx-1)(cosx-e^x))/(x^n) is finit...

    Text Solution

    |

  4. If m , n in I0a n d("lim")(xrarr0)(tan2x-nsinx)/(x^3)= some integer,...

    Text Solution

    |

  5. If ("lim")(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is no...

    Text Solution

    |

  6. If ("lim")(xto0)(cos4x+acos2x+b)/(x^4) is finite, find a and b using e...

    Text Solution

    |

  7. The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...

    Text Solution

    |

  8. If lim(x->a)(a^x-x^a)/(x^x-a^a)=-1 and a >0, then find the value o...

    Text Solution

    |

  9. If lim(x->0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,where theta...

    Text Solution

    |

  10. If L=lim(x->0)(sin2x+asinx)/(x^3) is finite, then find the value of ...

    Text Solution

    |

  11. Evaluate: ("lim")(x to oo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x...

    Text Solution

    |

  12. Evaluate: ("lim")(xrarr0)(sinx^0)/x

    Text Solution

    |

  13. Evaluate: ("lim")(xto0)(1-"cos"(1-cosx)dot)/(x^4)

    Text Solution

    |

  14. Evaluate: [("lim")(xrarr0)(tan^(-1)x)/x], where [.]represent the g...

    Text Solution

    |

  15. Let f(x)={x+1,x >0 \n 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2x...

    Text Solution

    |

  16. Evaluate: ("lim")(xto pi/4)(sqrt(2)cosx-1)/(cotx-1)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |