Home
Class 12
MATHS
If f(x)={{:((logex)/(x-1),,,x ne 1),(k,,...

If `f(x)={{:((log_ex)/(x-1),,,x ne 1),(k,,,x=1):}`is continuous at x = 1 , then the value of k is

A

e

B

1

C

minus 1

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST - 2017

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COMMON ENTRANCE TEST -2015

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

if f(x)={((log_(e)x)/(x-1),,,x!=1),(k,,, x=1):} is continuous at x=1, then the value of k is

If f(x) = {{:((3 sin pi x)/(5 x),x ne 0),(2k,x = 0):} is continuous at x = 0, then the value of k is equal to :

If f(x) = {((x^(5)-32)/(x-2), x ne 2),(k, x =2):} is continuous at x = 2, then k =

If f(x) = {((sin 5x)/(x^(2)+2x), x ne 0),(k+1/2, x =0):} is continuous at x = 0, then the value of k is

Let f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):} If f(x) is continuous at x =0, then the value of k is

The function f(x) {((sin x)/x + cos x, x ne 0), (k, x = 0):} is continuous at x = 0, then the value of k is

If f(x)={{:((3sin pi x)/(5x)", "x !=0),(2K" , " x=0):} is continuous at x=0 , then the value of K is

The function f(x) = {{:((sin x)/(x) + cos x,"if",x ne 0),(k,"if",x = 0):} is continuous at x = 0, then value of k is :

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2018-QUESTION BANK
  1. Let A be a square matrix of order 3xx3 , then |5A| =

    Text Solution

    |

  2. If f(x)={{:(sqrt(1+kx)-sqrt(1-kx)," if ", -1le x lt 0),((2x+1)/(x-1), ...

    Text Solution

    |

  3. If cosy = xcos (a+y) with cos a ne pm1 , then (dy)/(dx) is equal to

    Text Solution

    |

  4. If f(x) = |cosx-sinx|, then f ' (pi//6) is equal to

    Text Solution

    |

  5. If y=sqrt(x+sqrt(x+sqrt(x+............oo))), m then dy/dx=

    Text Solution

    |

  6. If f(x)={{:((logex)/(x-1),,,x ne 1),(k,,,x=1):}is continuous at x = 1...

    Text Solution

    |

  7. Approximate change in the volume V of a cube of side x metres caused b...

    Text Solution

    |

  8. The maximum value of (1/x)^(x) is

    Text Solution

    |

  9. f(x)=x^(x) has a stationary point at :

    Text Solution

    |

  10. The maximum area of a rectangle inscribed in the circle (x+1)^(2)+(y-3...

    Text Solution

    |

  11. int1/(1+e^(x))dx is equal to

    Text Solution

    |

  12. int1/(sqrt(3-6x-9x^(2)))dx is equal to

    Text Solution

    |

  13. int" e"^(sinx).((sinx+1)/(secx))dx is equal to

    Text Solution

    |

  14. int(-2)^2 |x cos pi x|dx is equal to :

    Text Solution

    |

  15. int(0)^(1)(dx)/(e^(x)+e^(-x)) is equal to

    Text Solution

    |

  16. int0^(1//2)(dx)/((1+x^2)sqrt(1-x^2)) is equal to

    Text Solution

    |

  17. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  18. The area bounded by the line y = x,x axis and ordinates x = -1 and x =...

    Text Solution

    |

  19. The degree and the order of the differential equation (d^(2)y)/(dx^(2)...

    Text Solution

    |

  20. The solution of the differential equation x(dy)/(dx)-y=3 represents a ...

    Text Solution

    |