Home
Class 12
MATHS
Examine the continuity of the function ...

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

Text Solution

Verified by Experts

The correct Answer is:
x=a
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Long Answer Type Questions)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Objective Type Questions)|28 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 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|.cos ((1)/(x))",","if" x ne 0),(0",","if" x = 0):} at x= 0

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

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

Examine the continuity of the function f(x)= |x| + |x-1| at x=1

Examine the continuity of the function f(x)= 2x + 3 " at " x=1

Examine the continuity of the function f(x)= {((2x^(2)-3x-2)/(x-2)",","if " x ne 2),(5",","if " x =2):} at x= 2

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

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-NCERT Exemplar Problems and Solution (Short Answer Type Questions)
  1. Examine the continuity of the function f(x) = {((|x-4|)/(2(x-4))","...

    Text Solution

    |

  2. Examine the continuity of the function f(x) = {(|x|.cos ((1)/(x))","...

    Text Solution

    |

  3. Examine the continuity of the function f(x) = {(|x-a| sin ((1)/(x-a...

    Text Solution

    |

  4. Examine the continuity of the function f(x) = {((e^((1)/(x)))/(1 + e...

    Text Solution

    |

  5. Examine the continuity of the function f(x)= {((x^(2))/(2)",","if " ...

    Text Solution

    |

  6. Examine the continuity of the function f(x)= |x| + |x-1| at x=1

    Text Solution

    |

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

    Text Solution

    |

  8. f(x)= {((2^(x + 2)-16)/(4^(x)-16)",",x ne 2),(k",",x=2):} f(x) is con...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Prove that the function f defined by f(x) = {((x)/(|x|+ 2x^(2))",","if...

    Text Solution

    |

  12. Find the values of a and b such that the function f defined by f(x) ...

    Text Solution

    |

  13. If the function f(x)= (1)/(x+2), then find the points of discontinuity...

    Text Solution

    |

  14. Find all points of dicontinuity of the function f(t)= (1)/(t^(2) + t-2...

    Text Solution

    |

  15. Show that the function f(x)= |sinx + cos x| is continuous at x= pi

    Text Solution

    |

  16. Examine the differentiability of f, where f is defined by f(x) = {(x...

    Text Solution

    |

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

    Text Solution

    |

  18. Examine the continuity of the function f(x)= {(1+x",","if " x le 2),(5...

    Text Solution

    |

  19. Show that f(x) = |x-5| is continuous but not differentiable at x= 5

    Text Solution

    |

  20. A function f: R rarr R satisfies the equation f(x+ y)= f(x).f(y) "for ...

    Text Solution

    |