Home
Class 12
MATHS
Let f(x) = (x + x^(2) + ...+ x^(n)-n)/(x...

Let `f(x) = (x + x^(2) + ...+ x^(n)-n)/(x -1), x ne 1`, the value of f (1)

A

n

B

`(n+1)/(2)`

C

`(n(n+1))/(2)`

D

`(n(n-1))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2(Special Type Questions)|10 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-3Match The Following|2 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B( One Sided Limits)|71 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • LINEAR PROGRAMMING [APPENDIX-2]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise -1|33 Videos

Similar Questions

Explore conceptually related problems

Let f(x)= underset(n to 00) (Lt) (x^(2n)-1)/(x^(2n)+1) , then

If f(x) =(alphax)/(x+1), x ne 1 , then the value of alpha for which f(f(x))=x is:

Let f(x)=(x(1+a cosx)- b sin x)/(x^(3)), x ne 0 and f(0)= 1. Then values if 'a' and 'b' so that 'f' is continuos are

AA n in , 1+2x + 3x^(2) + ….+ n.x^(n-1) = (x in R, x ne 1)

If f(x)=(x-1)/(x+1),x ne pm1, show that fof^(-1)(x)=x .

Let f:R to R be a continuous function and f(x)=f(2x) is true AA x in R . If f(1) = 3 then the value of int_(-1)^(1) f(f(x))dx=

Let f(x) = x^5 + 2x^3 + 3x + 4 then the value of 28 d/(dx) (f^(-1)(x)) at x = -2 is

DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1C(Continuity)
  1. The value of f(0) so that f(x)=(log(1+x//a)-log(1-x//b))/(x) is contin...

    Text Solution

    |

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

    Text Solution

    |

  3. The value of f(0) so that f(x)=((4^(x)-1)^(3))/(sin(x//4)log(1+x^(2)//...

    Text Solution

    |

  4. If f(x)=((a^(x)-1)^(3))/(sin (x log a)log (1+x^(2) log a^(2)) is conti...

    Text Solution

    |

  5. If If {{:(,(72^(x)-9^(x)-8^(x)+1)/(sqrt2-sqrt(1+cosx)),x ne 0),(,k log...

    Text Solution

    |

  6. If f : R to R is continuous such that f(x + y) = f(x) + f(y) x i...

    Text Solution

    |

  7. Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) fo...

    Text Solution

    |

  8. Given that the function f defined by f(x)={{:(,2x-1,"if "x gt 2),(,k,"...

    Text Solution

    |

  9. f(x) = (x^(3) + x^(2) - 16 x + 20)/((x - 2)^(2)) " if " x ne 2 , = k ...

    Text Solution

    |

  10. If f(x)=(x^(2)-10x+25)/(x^(2)-7x+10)"for "x ne 5 and f is continuous a...

    Text Solution

    |

  11. Let f(x) = (x + x^(2) + ...+ x^(n)-n)/(x -1), x ne 1, the value of f (...

    Text Solution

    |

  12. If the function f(x)=(sin 3x)/(x)" for "x ne 0 and f(0)=k/2 is continu...

    Text Solution

    |

  13. If f(x)={{:((sqrt(1+kx)-sqrt1-kx)/(x),"for" -1 le x0),(2x^(2)+3x-2,"fo...

    Text Solution

    |

  14. If : [ -2 ,2 ] to R is defined by f(x) = {: { ((sqrt(1+cx) -sqr...

    Text Solution

    |

  15. Let f(x)=-2 sin x, if x le (-pi)/(2), f(x)=a sin x+b," if "(-pi)/(2), ...

    Text Solution

    |

  16. If [x] denotes the greatest integer not exceeding x and if the functi...

    Text Solution

    |

  17. The values of p and q for which the function f(x)={{:(,(sin(p+1)x+sinx...

    Text Solution

    |

  18. Let f: R to R is defined by f(x)= {{:(,alpha+(sin [x])/(x),if x gt 0),...

    Text Solution

    |

  19. If R rarr R b e defined f(x)={{:(a^(2)cos^(2) x+b^(2) sin^(2)x,if xle0...

    Text Solution

    |

  20. f : R - {0} to R " given by " f(x) = (1)/(x) - (2)/(e^(2x)-1) can b...

    Text Solution

    |