Home
Class 12
MATHS
If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)...

If `x=10 sum_(r=3) ^(100) (1)/((r ^(2) -4)), `then `[x]=`
(where [.] denotes gratest integer function)

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL|Exercise MATCHING TYPE PROBLEMS|7 Videos
  • ELLIPSE

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|2 Videos
  • HYPERBOLA

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

Solve in R: x^2+ 2[x] = 3x where [.] denotes greatest integer function.

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

Let f(x) = [x]^(2) + [x+1] - 3 , where [.] denotes the greatest integer function. Then

If f(x)=2[x]+cos x, then f:R rarr R is: (where [] denotes greatest integer function)

If f(x) = [x] - [x/4], x in R where [x] denotes the greatest integer function, then

The range of f(x)=[4^(x)+2^(x)+1] (where [.] denotes greatest integer function) is

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

Let 2(1+x^(3))^(100)=sum_(r=0)^(300) {a_(r)x^(r)-cos.(rpi)/(2)},"if"sum_(r=0)^(150) a_(2r)=s , then s-2^([log_(2)s] is (where lfloor.rfloor denotes greatest integer function)

Let f(x)={{:(,sum_(r=0)^(x^(2)[(1)/(|x|)])r,x ne 0),(,k,x=0):} where [.] denotes the greatest integer function. The value of k for which is continuous at x=0, is

VK JAISWAL-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. The number of roots of equation ((x-1)(x-3))/((x-2)(x-4))-e^(x)) ((x+1...

    Text Solution

    |

  2. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

    Text Solution

    |

  3. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

    Text Solution

    |

  4. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

    Text Solution

    |

  5. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  6. Let f x = (ax+b)/(xa+d), where a,b,c d are non zero If f (7) =7,f (11)...

    Text Solution

    |

  7. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} If A subB, then the rang of ...

    Text Solution

    |

  8. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  9. If f(x) is an even function then find the number of distinct real numb...

    Text Solution

    |

  10. The least integral value of m, m inR for which the range of function ...

    Text Solution

    |

  11. Let x1, x2, x3 satisfying the equation x^3 - x^2 + betax + gamma = 0 ...

    Text Solution

    |

  12. If underset(r=1)overset(n)sum [log(2) r]=2010 where [.] denotes great...

    Text Solution

    |

  13. Let f x = (ax+b)/(xa+d), where a,b,c d are non zero If f (7) =7,f (11)...

    Text Solution

    |

  14. It is pouring down rain and the amount of rain hitting point (x,y) is ...

    Text Solution

    |

  15. Let P (x) be a cubic polynomical with leading co-efficient unity. Let ...

    Text Solution

    |

  16. Let f (x) = x^(2)+10x+20. Find the number of real solution of the equa...

    Text Solution

    |

  17. If range of f (x)= ((ln x) (ln x ^(2))+ln x ^(3)+3)/(ln ^(2) x+ln x ^(...

    Text Solution

    |

  18. Polynomial P(x) contains only terms of aodd degree. when P(x) is divid...

    Text Solution

    |

  19. The equation 2x ^(3) -3x ^(2) +p=0 has three real roots. Then find the...

    Text Solution

    |

  20. Find the number of integers in the domain of f (x) = (1)/(sqrt(ln cos ...

    Text Solution

    |