Home
Class 12
MATHS
f(x) = {((|x|)/(x)",","if" x ne 0),(0","...

`f(x) = {((|x|)/(x)",","if" x ne 0),(0",","if" x= 0):}`

Text Solution

Verified by Experts

The correct Answer is:
x=0
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.2|20 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.3|30 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Examine the continuity of the function f(x) = {((|x-4|)/(2(x-4))",","if" x ne 4),(0",","if" x = 4):} at x=4

f(x)= {((x)/(|x|)",","if" x lt 0),(-1",","if" x ge 0):}

Examine the continuity of the function f(x) = {(|x|.cos ((1)/(x))",","if" x ne 0),(0",","if" x = 0):} at x= 0

Determine if f defined by f(x) = {(x^(2)"sin" (1)/(x)",","if" x ne 0),(0",","if" x= 0):} is a continuous function?

Examine the continuity of the function f(x) = {((e^((1)/(x)))/(1 + e^((1)/(x)))",","if " x ne 0),(0",","if" x = 0):} at x= 0

Evaluate lim_(xrarr0)f(x)," where "f(x)={{:((|x|)/(x)",",x ne0),(0",",x=0):}

Prove that the function f defined by f(x) = {((x)/(|x|+ 2x^(2))",","if" x ne 0),(k,"if" x = 0):} remains discontinuous at x=0, regardless the choice of k

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.1
  1. f(x)= {(2x+3",","if" x le 2),(2x-3",","if" x gt 2):}

    Text Solution

    |

  2. f(x)= {(|x|+3",","if" x le -3),(-2x",","if"-3 lt x lt 3),(6x + 2 ",","...

    Text Solution

    |

  3. f(x) = {((|x|)/(x)",","if" x ne 0),(0",","if" x= 0):}

    Text Solution

    |

  4. f(x)= {((x)/(|x|)",","if" x lt 0),(-1",","if" x ge 0):}

    Text Solution

    |

  5. f(x)= {(x+1",","if" x ge 1),(x^(2) + 1",","if " x lt 1):}

    Text Solution

    |

  6. f(x) = {(x^(3)-3",","if" x le 2),(x^(2)+1 ",","if " x gt 2):}

    Text Solution

    |

  7. f(x)= {(x^(10)-1",","if" x le 1),(x^(2)",","if" x gt 1):}

    Text Solution

    |

  8. Is the function defined by f(x)= {(x+5",","if" x le 1),(x-5",","if" x ...

    Text Solution

    |

  9. f(x) = {(3",","if" 0 le x le 1),(4",","if" 1 lt x lt 3),(5",","if" 3 l...

    Text Solution

    |

  10. f(x)= {(2x",","if" x lt 0),(0",","if" 0 le x le 1),(4x",","if" x gt 1)...

    Text Solution

    |

  11. f(x)= {(-2",","if" x le -1),(2x",","if" -1 lt x le 1),(2",","if " x gt...

    Text Solution

    |

  12. Find the relationship between a and b so that the function f defined b...

    Text Solution

    |

  13. For what value of lamda is the function defined by f(x)= {(lamda(x^(2)...

    Text Solution

    |

  14. Show that the function defined by g(x)= x - [x] is discontinuous at al...

    Text Solution

    |

  15. Is the function defined by f(x)= x^(2)- sin x + 5 continuous at x= pi...

    Text Solution

    |

  16. Discuss the continuity of the following functions: f(x)= sin x + cos...

    Text Solution

    |

  17. Discuss the continuity of the following functions: f(x)= sin x - co...

    Text Solution

    |

  18. Discuss the continuity of the following functions: f(x)= sin x. cos...

    Text Solution

    |

  19. Discuss the continuity of f(x)= cosx, x in R

    Text Solution

    |

  20. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

    Text Solution

    |