Home
Class 12
MATHS
A function f(x) is defined as f(x) = {:{...

A function f(x) is defined as `f(x) = {:{((x^2-x-6)/(x-3), x ne 3),(5,x=3):}` show that f(X) is continous at x = 3.

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

A function f is defined as f(x) = {{:((x^2 - x - 6)/(x^2- 2x - 3)"," ,x != 3),(5/3",", x = 3):} Prove that f is discontinous at x = 3 .

Show that f(x) = 2x-|x| is continous at x = 0

A function 'f' is defined by f(x) = 2x - 5, find : f(-3).

Examine the continuity of f(x) = {:{((x^2-9)/(x-3), x ne 3),(6,x=3):} at x = 3

If the function f is defined by f(x) = {(3,,x,ne,0),(a+1,,x,=,0):} and f is continuous at x = 0, then value of a is :

Function f is defined by f(x) = 6 x - 3 find f(- 2).

If the function f is defined by f(x) = {(5,,x,ne,0),(a-1,,x,=,0):} and f is continuous at x = 0, then value of a is :

Let f(x) = (4x+3)/(6x-4), x ne 2/3 .show that fof (x) = x.

A function f is defined by f(x)= 2x -5. Write down the values of f(-3)

Show that the function f(x) = {{:(x^2 + 3 , "if" x != 0),(1,"if" x = 0):} is not continous at x = 0 .

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Examine the function f(X) = {:{((1-cos3x)/(x), x ne 0),(0,x=0):} for c...

    Text Solution

    |

  2. For what value of k, function f (x) is continuous at x = 0 where f(x) ...

    Text Solution

    |

  3. A function f(x) is defined as f(x) = {:{((x^2-x-6)/(x-3), x ne 3),(5,x...

    Text Solution

    |

  4. Discuss the continuity of the function f(x), where f(x)= {:{(2-x, x < ...

    Text Solution

    |

  5. Discuss the continuity of the function f(x) at x = 0 , where f(x) ={:{...

    Text Solution

    |

  6. Discuss the continuity of the function f(x) at x = 2, where f(x) = {:{...

    Text Solution

    |

  7. Discuss continuity of f(X) = {:{(-1,x<0),(2-x,xge0):} at x = 0

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |