Home
Class 12
MATHS
Check the continuity of the following fu...

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

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the following functions f(x) = {{:(x + 2"," ,"if " x lt 0),(-x + 2",","if " x ge 0):}

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

Examine for continuity the following functions: f(x) = {:(x^2, if x ge1),(x, if x < 1):}

Check the continuity of the function f given by f(x) = 2x+3 at x=1

Examine for continuity the following functions: f(x) = {:(x/|x|, x ne 0),(0, x = 0):}

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

Examine for continuity the following functions: f(x) = {:(x , if x ne 0),(1 , if x = 0):}

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the...

    Text Solution

    |

  2. Check the continuity of the function f given by f(x) = 2x+3 at x=1

    Text Solution

    |

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

    Text Solution

    |

  4. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

    Text Solution

    |

  5. Examine the function f(x) = 2x^2-5 for its continuity at the point x =...

    Text Solution

    |

  6. Is the function defined by f(x) = |x|, a continuous function?

    Text Solution

    |

  7. Find the point at which the function f(x) = [x] is not continuous in (...

    Text Solution

    |

  8. Examine the following function for continuity: f(x) = x-5

    Text Solution

    |

  9. Examine the following functions for continuity: f(x) = x^3 + x^2-1

    Text Solution

    |

  10. Examine the following function for continuity: f(x) = 1/(x-5), x ne 5

    Text Solution

    |

  11. Examine the following function for continuity: f(x) = (x^2 -25)/(x+5),...

    Text Solution

    |

  12. Examine the following function for continuity: f(x) = |x-5|

    Text Solution

    |

  13. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  14. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  15. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  16. Discuss the continuity of the following function: f(x) = sinx + cosx

    Text Solution

    |

  17. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  18. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  19. Discuss the continuity of the following functions: f(x) = (sinx)/(co...

    Text Solution

    |

  20. Prove that f(x) = |sin x| is continous at all point of its domnin.

    Text Solution

    |