Home
Class 12
MATHS
Examine the continuity of f, where f is ...

Examine the continuity of f, where f is defined by `f(x)= {(sin x- cos x",","if" x ne 0),(-1,"if" x = 0):}`

Text Solution

Verified by Experts

The correct Answer is:
`x in R`
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

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

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

Examine the differentiability of f, where f is defined by f(x) = {(x.[x]",","if " 0 le x lt 2),((x-1)x,"if " 2 le x lt 3):} at x= 2

Discuss the continuity of the function defined by f(x) = {(x+2",","if " x lt 0),(-x+2",","if " x gt 0):}

Examine the continuity of the function f(x) = {(|x-a| sin ((1)/(x-a))",","if " x ne a),(0",","if' x = a):} at x=a

Examine the continuity of the function f(x)= {((1-cos(2x))/(x^(2)),"if "x ne 0),(5",","if" x = 0):} at x=0

Discuss the continuity of the function f given by f(x)= {(x",","if " x gt 0),(x^(2)",","if " x lt 0):}

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.1
  1. Is the function defined by f(x)= x^(2)- sin x + 5 continuous at x= pi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Find all points of discontinuity of f, where f(x)= {((sin x)/(x)",","i...

    Text Solution

    |

  10. Determine if f defined by f(x) = {(x^(2)"sin" (1)/(x)",","if" x ne 0),...

    Text Solution

    |

  11. Examine the continuity of f, where f is defined by f(x)= {(sin x- cos ...

    Text Solution

    |

  12. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  13. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  14. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  15. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  16. Find the values of a and b such that the function defined by f(x)= {(5...

    Text Solution

    |

  17. Show that the function defined by f(x)= cos(x^(2)) is a continuous fun...

    Text Solution

    |

  18. Show that the function defined by f(x)= |cos x| is a continuous functi...

    Text Solution

    |

  19. Examine that sin |x| is a continuous function.

    Text Solution

    |

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

    Text Solution

    |