Home
Class 12
MATHS
Examine the following functions for cont...

Examine the following functions for continuity:
`f(x) = {:{(x+a,x<1),(ax^2+1,xge1):}` at x = 1

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 following function for continuity: f(x) = x-5

Examine the following functions for continuity. f(x) = x-5

Examine the following functions for continuity: f(x) = {:{((x-|x|)/x, x ne 0),(2,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

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

Examine the following functions for continuity: f(x) = {:{(x^n sin1/x, x ne 0),(-, x= 0):} at x = 0, where n ge 1.

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

Examine the following functions for continuity: f(x) = {:{((|x-3|)/(2(x-3)), if x ne 3),(0, if x =3):} at x = 3

Examine the following functions for continuity: f(x) = {:{((2x^2-3x-2)/(x-2), x ne 2),(3,x=2):}

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

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Discuss continuity of f(X) = {:{(-1,x<0),(2-x,xge0):} at x = 0

    Text Solution

    |

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

    Text Solution

    |

  3. Examine the following functions for continuity: f(x) = {:{(x+a,x<1),...

    Text Solution

    |

  4. Examine the following functions for continuity: f(x) = {:{((|x-3|)/(...

    Text Solution

    |

  5. Examine the following functions for continuity: f(x) = {:{((x-|x|)/x...

    Text Solution

    |

  6. Examine the following functions for continuity: f(x) = {:{((x^2/2), ...

    Text Solution

    |

  7. Examine the following functions for continuity: f(x) = |x| + |x-1| ...

    Text Solution

    |

  8. Examine the continuity of the function f(x) = {:{(3x-2,xle0),(x+1,x>0)...

    Text Solution

    |

  9. Is the function f(X) = {:{((1-x^n)/(1-x), x ne 1),(n-1,x=1):}, n in N ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find the values of a so that the function f defined by f(X) = {:{((sin...

    Text Solution

    |

  19. Find the value of a if the function f defined by f(x) = {:{(2x-1, x < ...

    Text Solution

    |

  20. Show that the function f(x) = |x + 1| + | x - 1| is continuous at x = ...

    Text Solution

    |