Home
Class 12
MATHS
The points of discontinuity of f(x) = ta...

The points of discontinuity of `f(x) = tan((pix)/(x+1))`

A

x = (2m-1)/(2m+1)

B

x = (2m+1)/(1-2m) (m is any integer)

C

`x =pi`

D

x = 0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

Define a continuity of a function at a point. Find all the points of discontinuity of f defined by f(x) = |x| - |x - 1| .

Find all points of dicontinuity of f, where f(x)={{:((sinx)/(x)," if "x lt 0),(x+1," if "x ge 0):} .

Find all the points of discontinuity on f defined by f(x)=|x|-|x+1|

Write the points of discontinuity for the function f(x)=[x],-3ltxlt3

The domain of the function f(x) = tan 3x is

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. If f(9) =9, f^(')(9) = 4, then lim(x rarr 9)(sqrt(f(x))-3)/(sqrtx - 3)...

    Text Solution

    |

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

    Text Solution

    |

  3. The points of discontinuity of f(x) = tan((pix)/(x+1))

    Text Solution

    |

  4. If the function f(x) = {{:((x^(2)-(a+2)x + a)/(x-2),,x ne 2),(2,,x = 2...

    Text Solution

    |

  5. The value of f(0) so that the function f(x) = (2x-sin^(-1)x)/(2x+tan^(...

    Text Solution

    |

  6. How should we define f(x) = (log(1+ax)-log(1-bx))/x at x = 0 so as to...

    Text Solution

    |

  7. Which of the following is false ?

    Text Solution

    |

  8. If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 th...

    Text Solution

    |

  9. Let f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):} If f(x) is continuous...

    Text Solution

    |

  10. The function f(x)=|x|+(|x|)/(x) is

    Text Solution

    |

  11. If f(x)={((1-cosx)/(x),xne0),(k, x=0):} is continuous at x=0 then k=

    Text Solution

    |

  12. If f(x) = {((sin 5x)/(x^(2)+2x), x ne 0),(k+1/2, x =0):} is continuous...

    Text Solution

    |

  13. Which one of the following is not true always?

    Text Solution

    |

  14. The points of discontinuity of f(x) = tan((pix)/(x+1))

    Text Solution

    |

  15. Let f(x) = {(-2sinx, x le -pi/2),(asinx +b, -pi/2 lt x lt pi/2),(cosx,...

    Text Solution

    |

  16. Let f(x) = (1-tanx)/(4x-pi),x ne (pi)/(4), x in [0, (pi)/(2)], if f(x)...

    Text Solution

    |

  17. Consider f(x)={{:((x^(2))/(|x|)","x!=0),(0","x=0.):}

    Text Solution

    |

  18. If the function f(x) = {((sin 3x)/x, x ne 0),(k/2, x = 0):} is continu...

    Text Solution

    |

  19. If f(x) = (x^(2)-10x +25)/(x^(2)-7x+10 for x ne 5 and f is continuous ...

    Text Solution

    |

  20. If f : R rarr R is defined by f(x) ={(a^(2)cos^(2)+b^(2)sin^(2)x, x le...

    Text Solution

    |