Home
Class 12
MATHS
Examine the continuity of the functio...

Examine the continuity of the function `f(x)={3x-2,\ \ \ xlt=0x+1,\ \ \ x >0` at `x=0` . Also sketch the graph of this function.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos
  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

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

Examine the continuity of the function f(x)=3x-2,xlt=0 , f(x)=x+1,x>0" at x=0 Also sketch the graph of this function.

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

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

Discuss the continuity of the function f(x)={x/(|x|),x!=0 0,x=0

Discuss the continuity of the function f(x)={x/(|x|)\ \ \ ,\ \ \ x!=0 0\ \ \ ,\ \ \ x=0 .

Discuss the continuity of the function defined by f(x)={x+2, if x 0

Discuss the continuity of the function f(x) ={(3-x", "x le 0),(x", "x gt 0):} at x=0.

Discuss the continuity of the function f(x)={((|x|)/x", " xne 0),(1", " x=0):} at x=0

Discuss the continuity of the function f(x) ={(x", " x ge 0),(2", "x lt0):} at x=0

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Show that f(x)={(sin3x)/(tan2x),\ \ \ if\ x<0,\ 3/2,\ \ \ if\ x=0,\(lo...

    Text Solution

    |

  2. Find the value of ' a^(prime) for which the function f defined by f(x)...

    Text Solution

    |

  3. Examine the continuity of the function f(x)={3x-2,\ \ \ xlt=0x+1,\ ...

    Text Solution

    |

  4. Discuss the continuity of the function f(x)={x ,\ \ \ x >0 ,\ \ \ 1,...

    Text Solution

    |

  5. Discuss the continuity of the function f(x)={(x , 0 le x lt1/2 ),( 1...

    Text Solution

    |

  6. Discuss the continuity of f(x)={2x-1,\ \ \ x<0 ; {2x+1,\ \ \ xgeq0 a...

    Text Solution

    |

  7. For what value of k is the function f(x)={(x^2-1)/(x-1),\ \ \ x!=1k ,\...

    Text Solution

    |

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

    Text Solution

    |

  9. For what value of k is the function f(x)={(sin5x)/(3x),\ \ \ if\ x!=0,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find the values of a so that the function f(x)={a x+5,\ \ \ if\ xlt=2 ...

    Text Solution

    |

  13. Prove that the function f(x)={x/(|x|+2x^2),\ \ \ x!=0k ,\ \ \ x=0 r...

    Text Solution

    |

  14. Find the value of k if f(x) is continuous at x=pi//2 , where f(x)={(kc...

    Text Solution

    |

  15. Determine the values of a ,\ b ,\ c for which the function f(x)={(si...

    Text Solution

    |

  16. If f(x)={(1-cosk x)/(xsinx),x!=0 \ \ \ \ \ \ \ \ 1/2,x=0 is continuo...

    Text Solution

    |

  17. If f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x<4, a+b \ \ \ if\ x=4, (x-4...

    Text Solution

    |

  18. For what value of k is the function f(x)={(sin2x)/x ,\ \ \ x!=0k ,\ \ ...

    Text Solution

    |

  19. Let f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ x!=0 . Find the value of f at ...

    Text Solution

    |

  20. If f(x)={((2^(x+2)-16)/(4^x-16),x!=2),(k, x=2):} is continuous at x=2 ...

    Text Solution

    |