Home
Class 12
MATHS
If f(x)={:{(xe^(-(1/(|x|) + 1/x)), x ne ...

If `f(x)={:{(xe^(-(1/(|x|) + 1/x)), x ne 0),(0 , x =0 ):}` then f(x) is

A

continuous as well as differentiable for all x

B

continuous for all x but not differentiable at x = 0

C

neither differentiable nor continuous at x = 0

D

discontinuous everywhere

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS CONTINUITY AND DIFFERENTIABILITY

    BITSAT GUIDE|Exercise BITSAT Archives |28 Videos

  • INDEFINITE INTEGRAL

    BITSAT GUIDE|Exercise BITSAT Archives |14 Videos

  • LINEAR PROGRAMMING

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|3 Videos

Similar Questions

Explore conceptually related problems

If f(x)={((1)/(1+e^(1//x))"," ,x ne 0),(0",", x =0):} then f(x) is :

If f(x) = {{:(1/(1+e^(1//x)), x ne 0),(0,x=0):} then f(x) is

Let f(x) = {:{ (x sin""(1/x) , x ne 0) , ( k , x = 0):} then f(x) is continuous at x = 0 if

f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):} at x = 0

If f(x)={{:(,x^(2)sin((1)/(x)),x ne 0),(,0, x=0):} , then

If f(x)={(e^((1)/(x))/(1+e^((1)/(x)))",", x ne0),(0",",x=0):} , then

BITSAT GUIDE-LIMITS CONTINUITY AND DIFFERENTIABILITY -BITSAT Archives
  1. If f(x)={:{(xe^(-(1/(|x|) + 1/x)), x ne 0),(0 , x =0 ):} then f(x) is

    Text Solution

    |

  2. lim(x rarr 0) (1+x)^(8)-1 is equal

    Text Solution

    |

  3. lim(x rarr tan^(-1) 3) (tan^(2) x -2 tan x -3)/(tan^(2)x-4 tan x +3) ...

    Text Solution

    |

  4. lim ( xrarr -oo) (x^(4).sin((1)/(x))+x^(2))/(1+|x|^(3)) is equal to

    Text Solution

    |

  5. lim(x rarr 1) (x^(m)-1)/(x^(n)-1) is equal to

    Text Solution

    |

  6. If f(x) = = {{:([tan ((pi)/(4)+x)]^(1//x),x ne0),(k ,x=0):} For what...

    Text Solution

    |

  7. The value of lim(x rarr 0) ((1+5x^(2))/(1+3x^(2)))^(1/x^2) is

    Text Solution

    |

  8. lim(x rarr 0) ((2+x) sin (2+x) - 2 sin2)/(x) is equal to

    Text Solution

    |

  9. If f(x)=((3x+tan^(2) x)/x) is continuous at x=0, then f(0) is equal to...

    Text Solution

    |

  10. If f(x) = (log (1+ax)-log (1-bx))/(x) for x ne 0 and f(0) = k and f(x...

    Text Solution

    |

  11. lim(x rarr0) (sin x)/(x)

    Text Solution

    |

  12. lim(x->0)(cos(sinx)-1)/(x^2)

    Text Solution

    |

  13. In order that the function f(x) = (x+1)^(1/x) is continuous at x = 0, ...

    Text Solution

    |

  14. The function f (x ) = |x | at x = 0 is

    Text Solution

    |

  15. lim(x rarr 0) (cosec x )^(1//"log"x) is equal to

    Text Solution

    |

  16. The value of lim(xtooo)((x+6)/(x+1))^(x+4), is

    Text Solution

    |

  17. The set of points where the function f(x) = x |x| is differentiable i...

    Text Solution

    |

  18. lim(x->2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2) is equal to

    Text Solution

    |

  19. lim(x rarr 1) (1-x) tan((pi x)/2)

    Text Solution

    |

  20. If f: R rarr R is defined by f(x) = [ x -3] + | x-4| for x in R then...

    Text Solution

    |

  21. If f : R rarr R is defined by f(x) = {{:((cos 3x-cosx )/(x^(2)), "f...

    Text Solution

    |