Home
Class 12
MATHS
The function f:""R""~""{0}vecR given ...

The function `f:""R""~""{0}vecR` given by `f(x)=1/x-2/(e^(2x)-1)` can be made continuous at x = 0 by defining f(0) as (1) 2 (2) `-1` (3) 0 (4) 1

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos
  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

The function f:R-{0}rarr R given by f(x)=(1)/(x)-(2)/(e^(2)x-1) can be made continuous at x=0 by defining f(0) as

If the function f:R backslash{0}rarr given by f(x)=(1)/(x)-(2)/(e^(2x)-1) is continuous at x=0 then find the value of f(0)

If f(x) (2^(x)-1)/(1-3^(x)) , x != 0 is continuous at x = 0 then : f(0) =

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

If the function f defined as f(x)=(1)/(x)-(k-1)/(e^(2x)-1),x!=0, is continuous at x=0, then the ordered pair (k,f(0)) is equal to:

The value of f (0), such that f( x) =( 1)/(x^(2)) ( 1 -cos( sin x )) can be made continuous at x=0 , is

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. The function f(x) = {x+asqrt2 sinx, 0<=x<=pi/4 and 2x cotx+b, pi/4<=x...

    Text Solution

    |

  2. Sketch the graph of the following function f(x)=|ln|x||

    Text Solution

    |

  3. The function f:""R""~""{0}vecR given by f(x)=1/x-2/(e^(2x)-1) ca...

    Text Solution

    |

  4. Let f(x)={(1+3x)^(1/x),x!=0e^3,x=0dotD i s c u s st h econ t inu i t y...

    Text Solution

    |

  5. Which of the following functions is not continuous AAx in R ? sqrt(2...

    Text Solution

    |

  6. Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|),x!=1,2, 6...

    Text Solution

    |

  7. Given f(x)=1/(x-1) . Find the points of discontinuity of the compos...

    Text Solution

    |

  8. lim(x->0)f(x)=(x^3-x)/(x^2-1)

    Text Solution

    |

  9. What is the range of the function f(x)=[|x-1|]/[x-1]

    Text Solution

    |

  10. f(x)={|x+1|;xlt=0x ;x >0 and g(x)={|x|+1;xlt=1-|x-2|;x >1 Draw its g...

    Text Solution

    |

  11. Show that the function f(x)=(x-a)^2(x-b)^2+x takes the value (a+b)/2 f...

    Text Solution

    |

  12. Suppose that f(x) is continuous in [0, 1] and f(0) = 0, f(1) = 0. Prov...

    Text Solution

    |

  13. Let f be a continuous function defined onto [0,1] with range [0,1]. Sh...

    Text Solution

    |

  14. Leg f be continuous on the interval [0,1] to R such that f(0)=f(1)dot ...

    Text Solution

    |

  15. Let f:[0,1]vec[0,1] be a continuous function. Then prove that f(x)=x f...

    Text Solution

    |

  16. Discuss the continuity of the function ([.] represents the greatest ...

    Text Solution

    |

  17. Discuss the continuity of the function ([.] represents the greatest ...

    Text Solution

    |

  18. Discuss the continuity of the function ([.] represents the greatest ...

    Text Solution

    |

  19. Draw the graph and find the points of discontinuity f(x) = [2cos x] , ...

    Text Solution

    |

  20. If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the...

    Text Solution

    |