Home
Class 12
MATHS
Test the continuity of the following fun...

Test the continuity of the following functions at indicated points :
`f(x) = {{:((x) "sin" 1/(x)"," ,x != 0),(0",", x = 0):}` at `x = 0`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION III)(SHORT ANSWER TYPE QUESTIONS) |3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION IV)(SHORT ANSWER TYPE QUESTIONS) |14 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION I)(MULTIPLE CHOICE QUESTIONS) |8 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

Test the continuity of the following functions at indicated points : f(x) = {{:(x^2 "sin" 1/x"," ,x != 0),(0",", x = 0):} at x = 0

Test the continuity of the following functions at indicated points : f(x) = {{:((x - a) "cos" 1/(x-a)"," ,x != a),(0",", x = a):} at x = a

Check the continuity of the following functions: f(x) = x^2atx=0

Determine, k if the following function is continuous at x = 0 f(x) = {{:((sin 3x)/(4x), x != 0),(k,x = 0):}

Examine the continuity of f(x) = {{:((x)/(|x| )"," ,"if " x != 0),(0",", "if "x = 0):} at x = 0

Examine the following functions for continuity: f(x) = {:{((x-a) cos (1/(x-a)), x ne a),(0, x = a):} at x = a

Discuss the continuity of following at x = 0 if f(x) = {{:((sqrt(1 + 3x) - sqrt(1 - 3x))/(sin x)"," ,x != 0),(3",", x = 0):}

In the following, determine the constant so that given function is continuous at indicated point: f(x) ={:{((sin2x)/(5x), when x ne0),(m, when x=0):} at x =0

BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION II)(SHORT ANSWER TYPE QUESTIONS)
  1. Examine the continuity of f(x) = {{:((x)/(|x| )"," ,"if " x != 0),(0",...

    Text Solution

    |

  2. If f(x) = {{:((x)/(|x| + 2x^2)"," ,x != 0),(k",", x = 0):} Prove tha...

    Text Solution

    |

  3. Discuss the continuity of the function defined by f(x) = {{:((sin 3x...

    Text Solution

    |

  4. Discuss the continuity of the function defined by f(x) = {{:((tan 2x...

    Text Solution

    |

  5. Test the continuity of the following functions at indicated points : ...

    Text Solution

    |

  6. Test the continuity of the following functions at indicated points : ...

    Text Solution

    |

  7. Test the continuity of the following functions at indicated points : ...

    Text Solution

    |

  8. Determine k, so that f(x) = {{:((x^2 - 36)/(x - 6)"," ,"if " x != 6),(...

    Text Solution

    |

  9. Find k, so that f(x) = {{:((sin kx)/(x)"," ,x != 0),(4+ x",", x = 0):}...

    Text Solution

    |

  10. Determine k, if the following function is continuous at x = 0 f(x) =...

    Text Solution

    |

  11. For what value of k is the function defined by f(x) = {{:(k(x^2 + 2)...

    Text Solution

    |

  12. Find the value of k so that f(x) is continous at x = 0 f(x) = {{:((1...

    Text Solution

    |

  13. Find the value of k so that f(x) is continouns at x = 0 f(x) = {{:((...

    Text Solution

    |

  14. Determine the constant k so that the function f(x) = {{:(3k - 2x"," ...

    Text Solution

    |

  15. Determine the constant lambda , so that the function is continuous at ...

    Text Solution

    |

  16. For what value of k is the following function continous at x = 2 ? f...

    Text Solution

    |

  17. Find all the points of discontinuity, where f is defined by f(x) = {...

    Text Solution

    |

  18. Find all the points of discontinuity, where f is defined by f(x) = {...

    Text Solution

    |

  19. Find all the points of discontinuity, where f is defined by f(x) = {...

    Text Solution

    |

  20. Discuss the continuity of the function f(x) at x = 1/2 where f(x) = ...

    Text Solution

    |