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 - cosx , if x ne 0),(-1, if x = 0):}`.

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

Examine the continuity of f, where f is defined by : f(x)={(sinx-cosx,,,, if x ne0),(-1,,,, if x=0):}

Find all points of discontinuity of f, where f is defined by : f(x)={(|x|/x,,,,if x ne 0),(0,,,,if x=0):}

Examine the continuity of the function f(x) at x = 0, f(x) = {:{(|sinx|/x, when x ne 0),(1, when x=0):}

Discuss the continuity of the function f, where f is defined by: f(x)={(2x,,,,if x 1):}

Examine for continuity, the function 'f' defined by f(x) = {:{(e^(1//x), x ne 0),(0,x=0):} at x = 0

Discuss the continuity of the function f defined by f(x) = 1/x, x ne 0

Examine for continuity the following functions: f(x) = {:{(sin x, if x < 0),(x, if x ge0):}

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find all points of discontinuity of f, where: f(x)={(sinx/x,,,, if x <...

    Text Solution

    |

  2. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. In the following, determine the constant so that given function is con...

    Text Solution

    |

  6. Determine the value of the constant k so that the function f(x) = {:{(...

    Text Solution

    |

  7. Find the values of a and b such that the function defined by f(x){(5,"...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Examine if sin |x| is a continuous function.

    Text Solution

    |

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

    Text Solution

    |

  12. Differentiate the following functions with respect to x. sin(x^3 + 5x)

    Text Solution

    |

  13. Differentiate the following functions with respect to x. cos(sinx)

    Text Solution

    |

  14. Differentiate the following functions with respect to x. sin (a x + ...

    Text Solution

    |

  15. Differentiate the functions with respect to x: sec(tan(sqrtx))

    Text Solution

    |

  16. Differentiate the functions with respect to x: (sin(ax+b))/(cos(cx+d))

    Text Solution

    |

  17. Differentiate the functions with respect to x: cos x^3 cdot sin^2 (x^5...

    Text Solution

    |

  18. Differentiate the following functions with respect to x. 2sqrt(cot (...

    Text Solution

    |

  19. Differentiate the functions with respect to x cos(sqrtx)

    Text Solution

    |

  20. Prove that the function f given by : f(x) = |x-1|, x in R is not diffe...

    Text Solution

    |