Home
Class 12
MATHS
Let f(x)=1/(1+e^(1/x))for\ x!=0\ a n d\ ...

Let `f(x)=1/(1+e^(1/x))for\ x!=0\ a n d\ f(0)=0` , then `f(0^+)` does not exist b. `f(0)` is equal to zero c. `f^(prime)(0^-)\ ` is equal to 1 d. `f^(prime)(0^+)` is equal to zero

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

If f(x)=x sin((1)/(x)),x!=0 and f(x)=0,x=0 then show that f'(0) does not exist

If f'(x)=(1)/((1+x^(2))^(3//2)) and f(0)=0, then f(1) is equal to :

Let f(x)=e^(x)g(x),g(0)=4 and g'(0)=2, then f'(0) equals

If f(x)=xs in(1/x),x!=0 then (lim_(x rarr0)f(x)= a.1b*-1 c.0 d.does not exist

If f'(x)=(dx)/((1+x^(2))^(3//2)) and f(0)=0. then f(1) is equal to

Let f be defined on R by f(x)= x^(4)sin(1/x) , if x!=0 and f(0)=0 then (a) f'(0) doesn't exist (b) f'(2-) doesn't exist (c) f'' is not continous at x=0 (d) f''(0) exist but f'' is not continuous at x=0

If y=f(x) satisfies f(x+1)+f(z-1)=f(x+z) AA x, z in R and f(0)=0 and f'(0)=4 then f(2) is equal to

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Let f be a differentiable function on the open interval(a, b). Which o...

    Text Solution

    |

  2. If f(x) = |1 -x|, then the points where sin^-1 (f |x|) is non-differen...

    Text Solution

    |

  3. Let f(x)=1/(1+e^(1/x))for\ x!=0\ a n d\ f(0)=0 , then f(0^+) does not ...

    Text Solution

    |

  4. Let f(x)=[(sinx)/x]+[(2sin2x)/x]++[(10sin10 x)/x] (where [.] is the gr...

    Text Solution

    |

  5. In a quadratic equation ax^2 + bx+c= 0 if 'a' and 'c' are of opposite ...

    Text Solution

    |

  6. Let f(x)""=""x|x|""a n d""g(x)""=""s in x Statement 1 : gof is diff...

    Text Solution

    |

  7. Statement 1:(lim)(x->0)sin^(-1){x}\ does not exist (where {.} denot...

    Text Solution

    |

  8. Statement 1: lim(x->0) sqrt(1-cos 2x)/x does not existe . Statement 2...

    Text Solution

    |

  9. Statement 1: If f(x)={x ,\ if\ x\ i s\ irr a t ion a l1-x ,\ if\ x\ i ...

    Text Solution

    |

  10. Statement 1: (lim)(x->0)[x]((e^(1//x)-1)/(e^(1//x)+1)) (where [.] repr...

    Text Solution

    |

  11. Statement 1: The function f(x)=[[x]]-2[x-1]+[x+2] is discontinuous ...

    Text Solution

    |

  12. Let f(x)=-ax^2-b|x|-c, -alpha le x lt 0, ax^2+b|x|+c 0 le x le alpha ...

    Text Solution

    |

  13. Let f(x)={1+(2x)/a ,0lt=x<1a x ,1lt=x<2dotIf("lim")(xvec1)f(x)e xi s t...

    Text Solution

    |

  14. Given a real valued function f such that f(x)={(tan^2{x})/((x^2-[x]^2)...

    Text Solution

    |

  15. Which of the following statement(s) is (are) INCORRECT ?. (A) If lim...

    Text Solution

    |

  16. Each question contains statements given in two columns which have to b...

    Text Solution

    |

  17. If L=+(lim)(x->1)((2x-3)(sqrt(x)-1))/(2x^2+x-3),\ t h e n\ 20\ L=

    Text Solution

    |

  18. If L=(lim)(x->oo)(logx^n-[x])/([x]),\ w h e r e\ n in N ,\ t h e n-2L...

    Text Solution

    |

  19. (lim)(x->0)([100(sin x)/x]+[100(tanx)/x])=

    Text Solution

    |

  20. (lim)(x->0)([100 x/(sin\ x)]+[100(tanx)/x])=

    Text Solution

    |