Home
Class 12
MATHS
underset(xto0)lim[(1-e^(x))(sinx)/(|x|)]...

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

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Prove that [lim_(xto0) (tan^(-1)x)/(x)]=0, where [.] represents the greatest integer function.

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

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

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

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

If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represent the greatest integer function)

Evalute [lim_(xto0) (sin^(-1)x)/(x)]=1 , where [*] represets the greatest interger function.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. Equation x^(n)-1=0,ngt1,ninN, has roots 1,a(1),a(2),...,a(n),. The val...

    Text Solution

    |

  2. Equation x^(n)-1=0,ngt1,ninN, has roots 1,a(1),a(2),...,a(n),. The val...

    Text Solution

    |

  3. underset(xto0)lim[(1-e^(x))(sinx)/(|x|)] is (where [.] represents the ...

    Text Solution

    |

  4. Indicate all correct alternatives: if f(x) = x/2-1, then on the interv...

    Text Solution

    |

  5. Let function f be defined as f:R^(+)toR^(+) and function g is defined ...

    Text Solution

    |

  6. If f(x)={(2cos x ,s in2x)/((pi-2x)^2),xlt=pi/2(e^(-cotx)-1)/(8x-4pi),x...

    Text Solution

    |

  7. If f(x) = {{:(b([x]^(2)+[x])+1",","for",x gt -1),(sin(pi(x + a))",","f...

    Text Solution

    |

  8. Show that the function f(x)={x^m sin(1/x) , 0 ,x != 0,x=0 is different...

    Text Solution

    |

  9. {:(f(x) = cos x and H(1)(x) = min{f(t), 0 le t lt x},),(0 le x le (pi)...

    Text Solution

    |

  10. Consider f(x)=[[2(sinx-sin^3x)+|sinx-sin^3 x|)/(2(sinx-sin^3 x)-|sinx...

    Text Solution

    |

  11. Consider the function f(x) = {{:(x{x}+1",","if",0 le x lt 1),(2-{x}","...

    Text Solution

    |

  12. Let f(x) = max{|x^2 - 2 |x||,|x|} and g(x) = min{|x^2 - 2|x||, |x|} th...

    Text Solution

    |

  13. The function f(x)=x-[x] , where [⋅] denotes the greatest integer fu...

    Text Solution

    |

  14. Let f (x) be twice differentialbe function such that f'' (x) gt 0 in [...

    Text Solution

    |

  15. Let f:(-pi/2, pi/2)->R, f(x) ={lim(n->oo) ((tanx)^(2n)+x^2)/(sin^2x+(t...

    Text Solution

    |

  16. Let f(x+y)=f(x)f(y) for all x, y epsilon R and f(x)=1+x phi (x) l n 2 ...

    Text Solution

    |

  17. Let f(x+y)=f(x)f(y) for all x, y epsilon R and f(x)=1+x phi (x) l n 2 ...

    Text Solution

    |

  18. Let f(x) be a function satisfying f(x+y)=f(x) + f(y) and f(x) = x...

    Text Solution

    |

  19. Let f(x) be a function satisfying f(x+y)=f(x)f(y) for all x,y in R and...

    Text Solution

    |

  20. "If "f(x)+f(y)=f((x+y)/(1-xy))" for all "x,y in R, (xyne1), and under...

    Text Solution

    |