Home
Class 12
MATHS
lim(x->1) (nx^(n+1)-nx^(n)+1)/((e^x-e^2)...

`lim_(x->1) (nx^(n+1)-nx^(n)+1)/((e^x-e^2)sinpix)`

A

`(n(n+1))/(e^2-e)`

B

`n/((e^2-e)pi)`

C

`n/((e-e^2)pi)`

D

`(n^2(n+1))/((e^2-e)pi)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numberical Answer)|16 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Exercise (Single Correct Answer)|10 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples Level 1 (Single Correct Answer)|52 Videos
  • JEE (MAIN) QUESTIONS WITH SOLUTIONS MATHEMATICS (7 TH JAN-MORNING )

    MCGROW HILL PUBLICATION|Exercise QUESTIONS|25 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr1)(nx^(n+1)-(n+1)x^(n)+1)/((e^(x)-e)sin pi x), where n=100, is equal to :(5050)/(pi e) (b) (100)/(pi e)(c)-(5050)/(pi e) (d) -(4950)/(pi e)

lim_ (x rarr1) (nx ^ (n + 1) -nx ^ (n) +1) / ((e ^ (x) -e ^ (2)) sin pi x)

The value of lim_(x rarr oo)(x^(n)+nx^(n-1)+1)/(e^(|x|)),n in1 is

If lim_(x->1)((x^n-1)/(n(x-1)))^(1/(x-1))=e^p , then p is equal to

Evaluate: int e^(x)(1+nx^(n-1)-x^(2n))/((1-x^(n))sqrt(1-x^(2n)))dx

Let f(x)=lim_(nrarroo)((x^(2)+2x+4+sinpix^(n))-1)/((x^(2)+2x+4+sinpix^(n))+1) , then

lim_(x->oo)(e^x((2^(x^n))^(1/(e^(x)))-(3^(x^n))^(1/(e^(x)))))/(x^n), n in N, is equal to

Show that 1+2x + 3x^2 +….+ nx^(n-1) = (1-(n+1)x^(n) + nx^(n+1))/((1-x)^2) for all n in N .

lim_(x->0) (sin(nx)((a-n)nx – tanx))/x^2= 0, when n is a non-zero positive integer, then a is equal to

int(e^(5l nx)-e^(4l nx))/(e^(3l nx)-e^(2l nx))dx

MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Solved Examples Level 2 (Single Correct Answer)
  1. f(x)={{:((3//x^2)sin2x^2,"if" x lt 0),((x^2+2x+c)/(1-3x^2), "if" x ge ...

    Text Solution

    |

  2. The function f(x)=(sin 2x)^(tan^(2)2x) is not defined at x=(pi)/(4). T...

    Text Solution

    |

  3. Let f(x)=(log (1+x+x^2)+log(1-x+x^2))/(sec x-cosx) , x ne 0 .Then the ...

    Text Solution

    |

  4. The value of k(k gt 0) for which the function f(x)=(e^x-1)^4/(sin(x^2/...

    Text Solution

    |

  5. The function f(x) = (log(1+ax)-log(1-bx))/(x) is not defined at x = 0....

    Text Solution

    |

  6. Let f(x)=log(1+x^2)/(x^4-26x^2+25Then 1)f is continuous on ([6,10](2) ...

    Text Solution

    |

  7. Let f(x)=(sin (pi cos^2 x))/x^2 , x ne 0 . The value of f(0) so that f...

    Text Solution

    |

  8. Let f(x)={{:((e^(alphax)-e^x)/x^2, x ne 0),(3//2,x=0):} The value of a...

    Text Solution

    |

  9. Let f be a continuous function on R such that f(1//2^n) =(sin e^n) e^...

    Text Solution

    |

  10. Let f(x)=lim(n to oo) sinx/(1+(2 sin x)^(2n)) then f is discontinuous ...

    Text Solution

    |

  11. Let f be a non-zero continuous function satisfying f(x+y)=f(x)f(y) for...

    Text Solution

    |

  12. Let f be a function on [0,1] defined by f(x)=(1//2)^n , (1//2)^(n+1) ...

    Text Solution

    |

  13. If f(x) is continuous at x=0, where f(x)={:{((sin (a+1)x+sin x)/(x)",...

    Text Solution

    |

  14. Let f(x)={(72^x -9^x- 8^x +1)/(sqrt2-sqrt(1+cosx)) ; x != 0 and k lo...

    Text Solution

    |

  15. Let f be a function defined on R by f(x)=[x] + sqrt(x-[x]) then

    Text Solution

    |

  16. The function f : R ~ {0} to R given by f(x)=(tan x-x)/(x-sinx) can be ...

    Text Solution

    |

  17. For x ne 1, f is defined by f(x)=1/(log x) - 1/(x-1) The value of f(1)...

    Text Solution

    |

  18. The number of points where f(x)={{:([cos pi x],"," 0 le x le 1),(|2x-...

    Text Solution

    |

  19. If f(x)={{:(x^2+Ax+5, x in Q),(1+x , x in R ~ Q):} is continuous at ...

    Text Solution

    |

  20. lim(x->1) (nx^(n+1)-nx^(n)+1)/((e^x-e^2)sinpix)

    Text Solution

    |