Home
Class 12
MATHS
Discuss the continuity of the function f...

Discuss the continuity of the function f(x) at x = 2, where `f(x) = {:{(3x + 5, if, x ge2),(x^2, if , x<2):}`

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

Discuss the continuity of the function f(x) at x = 0 , where f(x) ={:{(( |x|/x) , x ne 0),(0,x=0):}

Discuss the continuity of the function f(x) at x = 1/2 where f(x) = {{:(1/2 + x"," , x le x lt 1/2),(1",", x = 1/2),(3/2 + x,1/2 lt x lt 1):}

Discuss the continuity of function f(x) at 0 , if f(x) = |x| .

Discuss the continuity of the function f(x), where f(x)= {:{(2-x, x < 0),(2+x,xge0):} , at x = 2,0 and -2.

Discuss the continuity of the function f(x) at x = 5 , if f(x) = {{:((x^2 - 25)/(x - 5)"," ,"if "x != 5),(10",", "if "x = 5):}

Discuss the continuity of the function f(x) at x = 3 if f(x) = {{:((x - 3)/(sqrt(x^2) - 9)"," ,x != 3),(0",", x = 3):}

Discuss the continuity of the function f given by f (x) = | x | at x = 0

Discuss the continuity of the function f given by f(x) = x^3+x^2-1

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Discuss the continuity of the function f(x), where f(x)= {:{(2-x, x < ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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. 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

    |