Home
Class 12
MATHS
In order that the function f(x)=(x+1)^(c...

In order that the function `f(x)=(x+1)^(cotx)` is continuous at x = 0, f(0) must be defined as

A

`f(0)=0`

B

`f(0)=e`

C

`f(0)=1/e`

D

`f(0)=2/e`

Text Solution

Verified by Experts

The correct Answer is:
B
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

In order that the function f(x) = (x+1)^(1/x) is continuous at x = 0, f(0) must be defined as

In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, the value of f(0) must be defined as

In order that the function f(x) = (x+1)^(cot x) is continuous at x=0 , the value of f(0) must be defined as :

If f(x) is continuous at x=0, then f(0) is defined as where

If f(x)=(x+1)^(cotx) is continuous at x = 0, then what is f (0) equal to?

If f(x)=(x+1)^(cotx) is continuous at x=0, then what is f(0) equal to?

The value of f(0) so that the function f(x)=(1)/(x)-(1)/(sinx) is continuous at x = 0 is ________

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If f(x) is continuous at x=0, where f(x)={:{((sec^(2)x)^(cot^(2)x)", ...

    Text Solution

    |

  2. If f(x) is continuous at x=pi/4, where f(x)=(1+cos 2x)^(4sec 2x), for ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |