Home
Class 11
MATHS
The value of lim(x->0)([(100 x)/(sinx)]+...

The value of `lim_(x->0)([(100 x)/(sinx)]+[(99sinx)/x])` (where [.] represents the greatest integral function) is

(a)`199`

(b) ` 198`

(c)` 0`

(d) none of these

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

lim_(xto0) [(1-e^(x))(sinx)/(|x|)] is (where [.] represents the greatest integer function )

lim_(xto0) [min(y^(2)-4y+11)(sinx)/(x)] (where [.] denotes the greatest integer function) is

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

Solve lim_(xrarr0^+)[sinx/x] (where [.] denotes greatest integer function.)

Solve lim_(xrarr0^-)[sinx/x] (where [.] denotes greatest integer function.)

Evaluate : [lim_(x to 0) (sin x)/(x)] , where [*] represents the greatest integer function.

Evaluate: int_0^(100)x-[x]dx where [dot] represents the greatest integer function).

Evaluate lim_(xto2^(+)) ([x-2])/(log(x-2)), where [.] represents the greatest integer function.

Find lim_(xto0) [x]((e^(1//x)-1)/(e^(1//x)+1)), (where [.] represents the greatest integer funciton).

Evaluate : [lim_(x to 0) (tan x)/(x)] , where [*] represents the greatest integer function.

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If lim(xto0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  2. lim(xto1) ((1-x)(1-x^(2))...(1-x^(2n)))/({(1-x)(1-x^(2))...(1-x^(n))}^...

    Text Solution

    |

  3. The value of lim(x->0)([(100 x)/(sinx)]+[(99sinx)/x]) (where [.] repre...

    Text Solution

    |

  4. The value of lim(x->1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(sin^(-...

    Text Solution

    |

  5. The value of underset(xtooo)lim((2^(x^(n)))e^((1)/(x))-(3^(x^(n)))e^((...

    Text Solution

    |

  6. Let lim(xto0) ([x]^(2))/(x^(2))=m, where [.] denotes greatest integer....

    Text Solution

    |

  7. underset(xto1)lim(xsin(x-[x]))/(x-1), where [.] denotes the greatest i...

    Text Solution

    |

  8. underset(xto0)lim[(sin(sgn(x)))/((sgn(x)))], where [.] denotes the gre...

    Text Solution

    |

  9. underset(xtooo)lim(2+2x+sin2x)/((2x+sin2x)e^(sinx)) is equal to

    Text Solution

    |

  10. If f(x)=(cosx)/((1-sinx)^(1/3)) then (a) ("lim")(xrarrpi/2)f(x)=-oo (b...

    Text Solution

    |

  11. lim(x->-oo)(x^2*tan(1/x))/(sqrt(8x^2+7x+1)) is

    Text Solution

    |

  12. T1 is an isosceles triangle in circle C. Let T2 be another ísoscele...

    Text Solution

    |

  13. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f((pi)/...

    Text Solution

    |

  14. lim(xtooo) [((e)/(1-e))((1)/(e)-(x)/(1+x))]^(x) is :

    Text Solution

    |

  15. ("lim")(x -> 0)((1+tanx)/(1+sinx))^(cos e cx) is equal to (a)e ...

    Text Solution

    |

  16. lim(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 ...

    Text Solution

    |

  17. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  18. "Find"(dy)/(dx)"if "y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

    Text Solution

    |

  19. (c)answer any three questions: 1. if y=sin ^(-1) ((2x)/(1+x^2)) , find...

    Text Solution

    |

  20. If y=tan^(-1)((3x-x^3)/(1-3x^2)),-1/(sqrt(3))ltxlt1 /(sqrt(3)), then f...

    Text Solution

    |