Home
Class 12
MATHS
Discuss the continuity of f(x)=sgn(x^2-2...

Discuss the continuity of `f(x)=sgn(x^2-2x+3)`

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos

  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of f(x)=sgn(x^3-x)

Discuss the continuity of f(x)=|x|sgn(x^3-x)

Discuss the continuity of f(x)=sgn(2cosx-1)

Discuss the continuity of f(x)=[tan^(-1)x]

Discuss the continuity of f(x)=(log|x|)sgn(x^2-1),x!=0.

Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|),x!=1,2, 6,x=1, 12 ,x=2

Discuss the continuity of f(x) ={{:(((x^(2))/(|x|,xne0),(0,x=0):}

Discuss the continuity of f(x)={1/(e^(x-1)),x!=1; 0,x=1

Discuss the continuity of f(x)={(x{x}+1 ,, 0lt=x<1),(2-{x} ,, 1lt=x<2):} where {x} denotes the fractional part function.

Discuss the continuity of f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)

CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the continuity of f(x)=|x|sgn(x^3-x)

    Text Solution

    |

  2. Discuss the continuity of f(x)=sgn(2cosx-1)

    Text Solution

    |

  3. Discuss the continuity of f(x)=sgn(x^2-2x+3)

    Text Solution

    |

  4. Discuss the continuity of f(x)={(x{x}+1 ,, 0lt=x<1),(2-{x} ,, 1lt=x<2)...

    Text Solution

    |

  5. Discuss the continuity of f(x)=sgn(x^3-x)

    Text Solution

    |

  6. Show that the function f(x)=(x-a)^2(x-b)^2+x takes the value (a+b)/2 f...

    Text Solution

    |

  7. Prove that f(x)=(x^3)/4-sinpix+3 takes the value of 7/3 for x in [-2,2...

    Text Solution

    |

  8. Suppose f is a continuous map from R to R and f(f(a))=a for some adot ...

    Text Solution

    |

  9. Let f:[0,1] rarr [0,1] be a continuous function. Then prove that f(x)...

    Text Solution

    |

  10. Discuss the differentiability of f(x)={( x sin(ln x^2),x!=0),( 0,x=0):...

    Text Solution

    |

  11. Discuss the differentiability of f(x)={((sinx^2)/x ,x!=0), (0,x=0):} a...

    Text Solution

    |

  12. If f is an even function such that lim(hrarr0)(f(h)-f(0))/h has some f...

    Text Solution

    |

  13. Using intermediate value theorem, prove that there exists a number x s...

    Text Solution

    |

  14. Is the function is non-differential at x=0? f(x)="x"|"x"|

    Text Solution

    |

  15. Is the function is non-differential at x=0? f(x)="cos"|x|

    Text Solution

    |

  16. f(x)={([sinpix] ,, 0lt=x<1),(sgn(x-5/4)x{x-2/3} ,, 1lt=xlt=2):} where...

    Text Solution

    |

  17. Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not ...

    Text Solution

    |

  18. Discuss the continuity of f(x)=(log|x|)sgn(x^2-1),x!=0.

    Text Solution

    |

  19. If f(x) is continuous function AAx in R and the range of f(x) = (2, sq...

    Text Solution

    |

  20. Discuss the continuity of f(x) where f(x)=lim(nrarrinfty)("sin" (pix)/...

    Text Solution

    |