Home
Class 11
MATHS
lim x→(2^+) { x } sin( x−...

`lim x→(2^+) { x } sin( x−2 ) /( x−2)^2 =` (where [.] denotes the fractional part function) a. 0 b. 2 c. 1 d. does not exist

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

Solve : x^(2) = {x} , where {x} represents the fractional part function.

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

Draw the graph of y =(1)/({x}) , where {*} denotes the fractional part function.

If f(x) = {x} + sin ax (where {.} denotes the fractional part function) is periodic then

Solve (x)^2+(x+1)^2=25 {where (x) denotes the least integer function}

lim_(x->0) {(1+x)^(2/x)} (where {.} denotes the fractional part of x (a) e^2−7 (b) e^2−8 (c) e^2−6 (d) none of these

Draw the graph of y^(2)= {x} , where {*} represents the fractional part function.

Period of f(x)=cos2pi{x} is , where {x} denote the fractional part of x)

Draw the graph of y= 2^({x}) , where {*} represents the fractional part function.

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. The value of underset(xrarroo)(lim)x^(2)(1-cos.(1)/(x)) is

    Text Solution

    |

  2. lim(x->0) (Cosx -1)/x is equal to

    Text Solution

    |

  3. lim x→(2^+) { x } sin( x−2 ) /( x−2)^2 ...

    Text Solution

    |

  4. The value of lim(x->0)(sqrt(1-cos"x"^2))/(1-cosx) is a.1/2 b. 2 c. s...

    Text Solution

    |

  5. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

    Text Solution

    |

  6. lim(x->0)(e^(5x) - 1)/(3x)

    Text Solution

    |

  7. lim(x->(pi/2)) (1-sinx)tanx =

    Text Solution

    |

  8. The value of lim(x->3)((x^3+27)(log)e(x-2))/(x^2-9) is a. 9 b. 18 c....

    Text Solution

    |

  9. If (lim)(xvec0)(e^(a x)-e^x-x)/(x^2)=b (finite), then a=2,b=0 b. a=0,b...

    Text Solution

    |

  10. If underset(xrarr0)(lim)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0, then a+b is...

    Text Solution

    |

  11. underset(xrarr0)(lim)[(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the...

    Text Solution

    |

  12. The value of lim(x->pi/4) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

    Text Solution

    |

  13. lim(x->0) (sin x /x)

    Text Solution

    |

  14. If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represents the gr...

    Text Solution

    |

  15. If A=underset(xrarr0)(lim)(sin^(-1)(sinx))/(cos^(-1)(cosx))and B=under...

    Text Solution

    |

  16. Let f(x)=lim(m->oo){lim(n->oo)cos^(2m)(n !pix)}, where x in Rdot Then...

    Text Solution

    |

  17. lim(x->oo ){(e^x+pi^x)^(1/x)}= where {.} denotes the fractional par...

    Text Solution

    |

  18. Let f(x)=(lim)(xvecoo)(tan^(-1)(tanx))/(1+((log)e x)^n),x!=(2n+1)pi/2 ...

    Text Solution

    |

  19. Assume that underset(thetararr-1)(lim)f(theta) exists and (theta^(2)+t...

    Text Solution

    |

  20. lim(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

    Text Solution

    |