Home
Class 12
MATHS
f(x) = {{:(("tan"(pi)/(4)+x)^(1//x)",",x...

`f(x) = {{:(("tan"(pi)/(4)+x)^(1//x)",",x ne 0),(k",",x = 0):}` for what value of k, f(x) is continuous at x = 0 ?

A

e

B

`e^(-1)`

C

`e^(2)`

D

`e^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=({:((3|x|+4tanx)/(x),",",x ne0),(k,",",x=0):} then f(x) is continuous at x = 0 for :

Find the value of k, if the function f given by : {:(f(x)=[tan((pi)/(4)+x)^(1/x)]",", "for"x ne0),(=k",", "for" x=0):} is continous at x=0.

Let f(x)={((sin pix)/(5x)",",x ne0),(k"," , x =0):} if f(x) is continuous at x = 0, then k is equal to

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

Let {:{((3|x|+4tanx)/x, x ne 0),(k , x =0):} Then f(x) is continuous at x = 0 for ,

If {:(f(x),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then k =

If f(x)={{:("x sin"(1)/(x)",",xne0),(k",",x=0):} is continuous at x=0, then the value of k is

If f(x)={{:(,x([(1)/(x)]+[(2)/(x)]+.....+[(n)/(x)]),x ne 0),(,k,x=0):} and n in N . Then the value of k for which f(x) is continuous at x=0 is

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If f(x) is continuous at x=pi/4, where f(x)=(1+cos 2x)^(4sec 2x), for ...

    Text Solution

    |

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

    Text Solution

    |

  3. f(x) = {{:(("tan"(pi)/(4)+x)^(1//x)",",x ne 0),(k",",x = 0):} for what...

    Text Solution

    |

  4. The function f(x)=(sin 2x)^(tan^(2)2x) is not defined at x=(pi)/(4). T...

    Text Solution

    |

  5. If f(x) is continuous at x=1, where f(x)=(log(2)2x)^(1/(log(2)x), for ...

    Text Solution

    |

  6. If f(x) is continuous at x=0, where f(x)={:{((8^(x)-2^(x))/(k^(x)-1)"...

    Text Solution

    |

  7. If f(x) is continuous at x=0, where f(x)=(4^(x)-e^(x))/(6^(x)-1), for...

    Text Solution

    |

  8. The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , ...

    Text Solution

    |

  9. If the function f(x) defined by f(x)={(log(1+a x)-log(1-b x))/x ,\ \ \...

    Text Solution

    |

  10. If f(x) is continuous at x=0, where f(x)=(log 100 + log (0.01 +x))/(...

    Text Solution

    |

  11. For what value of k , the function defined by f(x) =(log (1+2x)...

    Text Solution

    |

  12. If f(x)={(log((1-3x))(1+3x)",","for",x ne 0),(k",","for",x =0):} is co...

    Text Solution

    |

  13. If f(x) is continuous at x=7, where f(x)=(log x-log 7)/(x-7), for x!=7...

    Text Solution

    |

  14. If f(x) is continuous at x=0, where f(x)=(e^(5x)-e^(2x))/(sin 3x), for...

    Text Solution

    |

  15. Let f(x)=((e^(kx)-1).sinKx)/x^2 for x!=0;=4, for x=0 is continuous at ...

    Text Solution

    |

  16. If f(x) is continuous at x=0, where f(x)=((e^(2x)-1)tan x)/( x sin x)...

    Text Solution

    |

  17. If f(x) is continuous at x=0, where f(x)=((e^(3x)-1)sin x^(@))/(x^(2))...

    Text Solution

    |

  18. if f(x)=(e^(x^(2))-cosx)/(x^(2)), for xne0 is continuous at x=0, then ...

    Text Solution

    |

  19. If f(x) is continuous at x=0, where f(x)={:{((3^(x)-3^(-x))/(sin x)",...

    Text Solution

    |

  20. If f(x) is continuous at x=0, where f(x)={:{((9^(x)-9^(-x))/(sin x)"...

    Text Solution

    |