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

In order that the function `f(x)=(x+1)^(cot x)` is continous at x=0, f(0) must be

A

0

B

e

C

1/e

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2(Special Type Questions)|10 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-3Match The Following|2 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B( One Sided Limits)|71 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • LINEAR PROGRAMMING [APPENDIX-2]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise -1|33 Videos

Similar Questions

Explore conceptually related problems

The value of that should be assigned to f(0) so that the function f(x) =(x+1)^(cotx) is continuous at x = 0, is

If the function f(x)=(log(1+ax)-log(1-bx))/(x) is continuous at x=0, then f(0)=

The value of f(00) so that the function f(x)=(2x-Sin^(-1)x)/(2x+Tan^(-1)x) is continuous at x=0, is

Show that the function f(x) =x sub (1)/(x) , x ne 0 f(0) =0 is continuous at x = 0

The value of f(0) so that the function f(x)=(sqrt(1+x)-root3(1+x))/(x) becomes continuous at x=0 is

Show that the function f(x)=(x)/(1+e^(1//x),x ne 0, f(0)= 0 is continuous at x = 0

Show that the function f(x) = x cos (1//x), x ne 0 f(0) = 1 is discontinuous at x = 0.

The set of values of x for which the function f(x) = log ( (x - 1)/(x + 2) ) is continous , is

DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1C(Continuity)
  1. If f(x)=x^(1/(x-1))" for "x ne 1 and if f is continuous at x=1 then f(...

    Text Solution

    |

  2. The value of f(0) so that the function f(x)=((27-2x)^(1//3)-3)/(9-3(24...

    Text Solution

    |

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

    Text Solution

    |

  4. The value of f(00) so that the function f(x)=(2x-Sin^(-1)x)/(2x+Tan^(-...

    Text Solution

    |

  5. The value of f(0) so that the function f(x)=(sqrt(1+x)-root3(1+x))/(x)...

    Text Solution

    |

  6. The value of f(0) so that f(x)=(cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+1)-1 ...

    Text Solution

    |

  7. Extend the definition of the following by continuity f(x)=(1−cos7(x−π)...

    Text Solution

    |

  8. Let f(x)=(1-tan x)/(4x-pi), x ne pi/4, x in [0,pi/2]." If f(x) is cont...

    Text Solution

    |

  9. f(x) ={{:((1-sqrt(2)sin x)/(pi -4x),"if "x ne (pi)/(4)),("k","if "x=(p...

    Text Solution

    |

  10. If f: R to R is defined by f(x)={{:(,(1+3x^(2)-cos2x)/x^(2),"for "x ne...

    Text Solution

    |

  11. If f: R to R" is defined by f(x)"={{:(,(cos 3x-cosx)/(x^(2)),"for "x n...

    Text Solution

    |

  12. If f R to R is defined by <by> f (x) = {{:(( 2 sin x - sin 2x)/(2x ...

    Text Solution

    |

  13. The value of f(0) so that the function f(x)=(1-cos (1-cos x))/(x^(4)) ...

    Text Solution

    |

  14. Find the value of AO) so that the function f(x) = ((a+x)^(2)sin(a+x)-a...

    Text Solution

    |

  15. The value of f(2) so that f(x)=(2^(x+2)-16)/(4^(x)-16) is continuous a...

    Text Solution

    |

  16. If the function f(x)=(log(1+ax)-log(1-bx))/(x) is continuous at x=0, t...

    Text Solution

    |

  17. The value of f(0) so that f(x)=(log(1+x//a)-log(1-x//b))/(x) is contin...

    Text Solution

    |

  18. Let f(x)=(log(1+x+x^(2))+log(1-x+x^(2))/(sec x-cos x),x ne 0. Then the...

    Text Solution

    |

  19. The value of f(0) so that f(x)=((4^(x)-1)^(3))/(sin(x//4)log(1+x^(2)//...

    Text Solution

    |

  20. If f(x)=((a^(x)-1)^(3))/(sin (x log a)log (1+x^(2) log a^(2)) is conti...

    Text Solution

    |