Home
Class 12
MATHS
Let the function f(x) be defined as f(x)...

Let the function f(x) be defined as `f(x) = {:{((logx-1)/(x-e) , xnee),(k , x =e):}`
The value of k , for which the function is continuous at x =e , is equal to

A

e

B

`1/e`

C

`e^(2)`

D

`-e`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section -B|35 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - C ( More than one options are correct )|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Try youself|16 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

The function f defined by f(x)=(x+2)e^(-x) is

The function f(x) = e^(|x|) is

The function f(x)=e^(-|x|) is

The function f :R to R defined by f (x) = e ^(x) isd

The value of f(1) so that f(x)= (e^x-e)//(x-1) is continuous at x =1 is

Let f(x)={{:((e^(alphax)-e^x)/x^2, x ne 0),(3//2,x=0):} The value of alpha so that f is a continuous function is

A function is defined as f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0):} , then f(x) is

AAKASH INSTITUTE-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
  1. If y = x^(1/x) , the value of (dy)/(dx) at x =e is equal to

    Text Solution

    |

  2. If y = tan^(1-) sqrt((x+1)/(x-1)) " for " |x| gt 1 " then " (dy)/(dx)...

    Text Solution

    |

  3. If y="log"(2)"log"(2)(x), then (dy)/(dx) is equal to

    Text Solution

    |

  4. if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

    Text Solution

    |

  5. Let the function f(x) be defined as f(x) = {:{((logx-1)/(x-e) , xnee),...

    Text Solution

    |

  6. Rolle's theorem is not applicable to f(x) = |x| in [ -2,2] because

    Text Solution

    |

  7. Lagrange's mean value theorem is not applicable to f(x) in [1,4] where...

    Text Solution

    |

  8. The value of c in Lagrange's mean value theorem for the function f(x) ...

    Text Solution

    |

  9. If f be a function such that f(9)=9 and f'(9)=3, then lim(xto9)(sqrt(f...

    Text Solution

    |

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

    Text Solution

    |

  11. If f(x)=sqrt(1-sqrt(1-x^2) then at x=0

    Text Solution

    |

  12. Domain of differentiable of the function f(x) = |x -2| cos x is

    Text Solution

    |

  13. Let f(x) = (sin (pi [ x + pi]))/(1+[x]^(2)) where [] denotes the great...

    Text Solution

    |

  14. If f(x)=x^2+(x^2)/(1+x^2)+(x^2)/((1+x^2)^2)+ ....oo term then at x=0,f...

    Text Solution

    |

  15. Let f(x)={(|x+1|)/(tan^(- 1)(x+1)), x!=-1 ,1, x!=-1 Then f(x) is

    Text Solution

    |

  16. the value of lim(h to 0) (f(x+h)+f(x-h))/h is equal to

    Text Solution

    |

  17. If y = (e^(x)+1)/(e^(x)-1), " then" (y^(2))/2 + (dy)/(dx) is equal to

    Text Solution

    |

  18. If f(x)=e^(x)g(x),g(0)=2,g'(0)=1, then f'(0) is

    Text Solution

    |

  19. If ax^(2)+2hxy+by^(2)=0,"show that "(d^(2)y)/(dx^(2))=0

    Text Solution

    |

  20. Derivative of the function f(x) = log(5) (log(8)x), where x > 7 is

    Text Solution

    |