Home
Class 12
MATHS
If f(x) defined by f(x)={(|x^2-x|)/(x...

If `f(x)` defined by `f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1`. Then (A)f(x) is continuous for all `x` (B) for all `x` except `x=0` (C) for all `x` except `x=1` (D) for all `x` except `x=0` and `x=1`

Text Solution

AI Generated Solution

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

If f(x) defined by f(x)={(|x^2-x|)/(x^2-x1,x=0),x!=0,1-1,x=1 then (A)f(x) is continuous for all x (B) for all x except at x=0 (C) for all x except at x=1 (D)for all x except at x=0 and x=1

f (x) = {{:((|x^(2)- x|)/(x^(2) - x),xne 0"," 1),(1",", x = 0),(-1",", x = 0 ):} is continuose for all :

Let f(x)=(x+|x|)|x| . Then, for all x f is continuous

Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0.

If f(x)=(2x+sin^(-1)x)/(2x-tan^(-1)x) is continuous for all x in (-1,1) , then value of f (0) is

Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0 .

If f(x)=(sin^(- 1)x)^2*cos(1/ x)"if"x!=0;f(0)=0,f(x) is continuous at x= 0 or not ?

If phi (x) is continuous at x= a such that f(x)=(ax-a^2-x^2)phi(x) for all x, then f(x) is

If f(x) ge0 for all x, then f(2-x) is

Let f(x)=x^3-6x^2+15 x+3 . Then, (a) f(x)>0 for all x in R (b) f(x)>f(x+1) for all x in R (c) f(x) is invertible (d) f(x)<0 for all x in R

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Let f(x)=|x|+|x-1|, then

    Text Solution

    |

  2. The function f(x)=(4-x^2)/(4x-x^3) a)discontinuous at only one poin...

    Text Solution

    |

  3. If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1. Then (A)f...

    Text Solution

    |

  4. Discuss the continuity of the f(x) at the indicated points: f(x)=|x...

    Text Solution

    |

  5. Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0.

    Text Solution

    |

  6. Given f(x)=1/(x-1). Find the points of discontinuity of the composite ...

    Text Solution

    |

  7. Test the continuity of the following function at the origin: f(x)={(|...

    Text Solution

    |

  8. Show that the function f(x) given by f(x)={xsin1/x ,x!=0 0,x=0

    Text Solution

    |

  9. Show that the function f(x) given by f(x)={(sinx)/x+cosx ,\ \ x!=0 2,\...

    Text Solution

    |

  10. Examine the function f(t) given by f(t)={(cost)/(pi//2-t);\ \ \ t!=pi/...

    Text Solution

    |

  11. Show that the function f(x) given by f(x)={((e^(1/x)-1)/(e^(1/x)+1), ...

    Text Solution

    |

  12. Discuss the continuity of the function f(x) at x=1//2 , where f(x)={...

    Text Solution

    |

  13. Discuss the continuity of the function f(x) given by f(x)={2-x ;\ \...

    Text Solution

    |

  14. Show that f(x)={5x-4, when 0ltxle1, 4x^3-3x , when 1ltxlt2 is contin...

    Text Solution

    |

  15. Show that the function f(x)=2x-|x| is continuous at x=0 .

    Text Solution

    |

  16. Discuss the continuity of the function of given by f(x)=|x-1|+|x-2|...

    Text Solution

    |

  17. Determine the value of k for which the following function is continu...

    Text Solution

    |

  18. Find the value of the constant lambda so that the function given...

    Text Solution

    |

  19. Find the value of f(0) so that the function given below is continuo...

    Text Solution

    |

  20. Find the value of ' a ' if the function f(x) defined by f(x)={2x-1,\ \...

    Text Solution

    |