Home
Class 12
MATHS
Are the following functions continuous a...

Are the following functions continuous at each point of their domains? `e^x`

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

Are the following functions continuous at each point of their domains? Sinx

Prove that the following functions are continuous at all points of their domains: f(x) = e^x+e^-x

Prove that the following functions are continuous at all points of their domains: f(x)= tanx

Prove that the following functions are continuous at all points of their domains: f(x) = cos x

Find the derivatives of the following functions at any point of their domains: e^(x^2)

Find the derivatives of the following functions at any point of their domains: e^(cosx+2)

Find the derivatives of the following functions at any point of their domains: e^x cot x

Find the derivatives of the following functions at any point of their domains: cosx^2

Find the derivatives of the following functions at any point of their domains: 2^(Cos^2x)

Prove that the following functions are continuous: cot x

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Are the following functions continuous at each point of their domains...

    Text Solution

    |

  2. If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |