Home
Class 11
MATHS
("lim")(xto1)(n x^(n+1)-(n+1)x^n+1)/((e^...

`("lim")_(xto1)(n x^(n+1)-(n+1)x^n+1)/((e^x-e)sinpix),` where `n=100 ,` is equal to :

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_(xto1) (nx^(n-1)-(n+1)x^(n)+1)/((e^(x)-e)sinpix) , where n=100 ,is equal to

lim_(ntooo) {((n)/(n+1))^(alpha)+"sin"(1)/(n)}^(n) (where alphainQ ) is equal to

Evaluate lim_(xto1)(x+x^(2)+…….+x^(n)-n)/(x-1)

lim_(x->oo)(1-x+x.e^(1/n))^n

lim_(xto1) (sum_(r=1)^(n)x^(r)-n)/(x-1) is equal to

("lim")_(n vec oo)"{"(n/(n+1))^(alpha)+sin (1/n)]^n (when alpha in Q ) is equal to (a) e^(-alpha) (b) -alpha (c) e^(1-alpha) (d) e^(1+alpha)

lim_(n to oo) sum_(r=1)^(n) (1)/(n)e^(r//n) is

Evaluate lim_(xto1) (a^(x-1)-1)/(sinpix).

Lt_(xto1)(sinpix)/(x-1) is equal to

If ("lim")_(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is nonzero real number, the a is 0 (b) (n+1)/n (c) n (d) n+1/n

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. The value of ("lim")(n to 0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n)...

    Text Solution

    |

  2. Find the values of a and b in order that lim(x->0) (x(1+a cos x)-b sin...

    Text Solution

    |

  3. ("lim")(xto1)(n x^(n+1)-(n+1)x^n+1)/((e^x-e)sinpix), where n=100 , is ...

    Text Solution

    |

  4. Find the integral value of n for which lim(x->0)(cos^2x-cosx-e^xcos...

    Text Solution

    |

  5. If lim(x->oo)((x^2+x+1)/(x+1)-a x-b)=4, then

    Text Solution

    |

  6. Evaluate: lim(x->0)(logcosx)/x

    Text Solution

    |

  7. Let L=lim(x->0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. If L is finite ,...

    Text Solution

    |

  8. Evaluate: ("lim")(xto0)(2^x-1)/((1+x)^(1/2)-1)

    Text Solution

    |

  9. The largets value of non negative integer for which lim(x->1){(-a x+si...

    Text Solution

    |

  10. Evaluate: lim(xrarr0)x^x

    Text Solution

    |

  11. Let m and n be two positive integers greater than 1.If lim(alpha->0) (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |