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

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

The value of lim_(xto0) ([(100x)/(sinx)]+[(99sinx)/(x)]) (where [.] represents the greatest integral function) is

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

Find the value of lim_(x->0)(1/sinx-1/x)

Find the value of lim_(x->0)(1/sinx-1/x)

lim_(xrarr0) [(100 tan x sin x)/(x^2)] is (where [.] represents greatest integer function).

Prove that [lim_(xto0) (sinx)/(x)]=0, where [.] represents the greatest integer function.

The value of lim_(xrarr(pi)/(2))([(x)/(3)])/(ln(sinx)) (where, [.] denotes the greatest integer function)

Write the value of (lim)_(x->0)(sinx^0)/x

lim_(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the greatest integer function). (a) -1 (b) 1 (c) 0 (d) does not exist

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

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  2. ("lim")(xvec1)((1-x)(1-x^2)...(1-x^(2n)))/({(1-x)(1-x^2)...(1-x^n)}^2)...

    Text Solution

    |

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

    Text Solution

    |

  4. The value of ("lim")(xto1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(si...

    Text Solution

    |

  5. The value of lim(x->oo)((2^(x^n))^(1/e^x)-(3^(x^n))^(1/e^x))/(x^n) (w...

    Text Solution

    |

  6. Let lim(x->0)([x]^2)/(x^2)=l and lim(x->0)([x^2])/(x^2)=m , whe...

    Text Solution

    |

  7. ("lim")(xvec1)(xsin(x-[x]))/(x-1),w h e r e[dot] denotes the greatest ...

    Text Solution

    |

  8. ("lim")(x->0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the greate...

    Text Solution

    |

  9. lim(x->0) (2+2x+sin2x)/((2x+sin2x)e^sinx) is

    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/2)...

    Text Solution

    |

  14. ("lim")(xvecoo)[(e/(1-e))(1/e-x/(1+x))]^xi s e^((1-e)) (b) e^(((1-e)...

    Text Solution

    |

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

    Text Solution

    |

  16. ("lim")(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If y=sin^(-1)((2x)/(1+x^2)), then find (dy)/(dx)

    Text Solution

    |

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

    Text Solution

    |