Home
Class 12
MATHS
Let f(x)=(1-tan x)/(4x-pi), x ne pi/4, x...

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

A

1

B

`-1`

C

`-1//2`

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Find the value of 'a' so that If f(x) = (1 - tanx)/(4x -pi) , x ne (pi)/(4) , is continuous on (0, (pi)/(2)), " find f " ((pi)/(4)) .

f(x) = (cos x - sinx)/(cos (2x)) , x ne (pi)/(4) is continuous on [ 0, (pi)/(2)] " then " f((pi)/(4)) =

If f(x) = |cos x - sin x| , then f^(1)(pi/4) =

f(x) = {{:(x + asqrt(2) sinx " if "0 le x lt pi//4),(2x cot x + b " if " pi//4 le x le pi//2),(a cos 2x - b sin x " if " pi//2 lt x le pi):} f(x) is continuous on [0, pi ] then (a,b) =

f(x) = (1 -cos (7(x-pi)))/(x - pi) is continous at x = pi " then " f (pi) =

f(x) ={{:((1-sqrt(2)sin x)/(pi -4x),"if "x ne (pi)/(4)),("k","if "x=(pi)/(4)):} continous at x=(pi)/(4) , then K=

If f(x) = {{:(1 - sqrt(2 sinx)/(pi - 4r ) " if " x ne (pi)/(4)),(a " if " x = (pi)/(4)):} continuous at (pi)/(4) then a =

DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1C(Continuity)
  1. The value of f(0) so that f(x)=(cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+1)-1 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If If {{:(,(72^(x)-9^(x)-8^(x)+1)/(sqrt2-sqrt(1+cosx)),x ne 0),(,k log...

    Text Solution

    |

  17. If f : R to R is continuous such that f(x + y) = f(x) + f(y) x i...

    Text Solution

    |

  18. Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) fo...

    Text Solution

    |

  19. Given that the function f defined by f(x)={{:(,2x-1,"if "x gt 2),(,k,"...

    Text Solution

    |

  20. f(x) = (x^(3) + x^(2) - 16 x + 20)/((x - 2)^(2)) " if " x ne 2 , = k ...

    Text Solution

    |