Home
Class 12
MATHS
The function f(x)=|x-2|+x is...

The function `f(x)=|x-2|+x` is

A

continuous at x =1

B

discontinuous only at 0

C

discontinuous at 0,1

D

discontinuous every where

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos
  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=|x| has:

Verify Rolle's theorem for the function f(x)=x^(2)+2, x in [-2,2]

The function f(x)=x^(2)+2x-5 is strictly increasing in the interval

The function f(x) = [x] is :

Verify Roll's theorem for the function f(x)= x^(2)+2, x in [-2,2]

The function f(x) = x^(2) + 2x - 5 is strictly increasing in the interval

verify mean value therem for the function f(x) = x^2 -4x -3 in the interval [1,4]

The value of c in Mean value theorem, for the function f(x) = x(x2) and x in [1,2] is

Find the domain of the function f(x) = (x^(2) + 2x +1)/(x^(2) - 8x +12)

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...

    Text Solution

    |

  2. To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as

    Text Solution

    |

  3. The function f(x)=|x-2|+x is

    Text Solution

    |

  4. If the function f(x) = {((sin 3x)/x, x ne 0),(k/x, x = 0):} is continu...

    Text Solution

    |

  5. Let f(x) = (1 - cos px)/(x sin x), where x ne 0 and f(0) = (1)/(2). If...

    Text Solution

    |

  6. Let f(x) = [(x^(2),x le 0),(ax + b, x gt 0)]lim The values of a and b ...

    Text Solution

    |

  7. If the function f(x) ={(ax-b, x le1),(3x, 1lt x lt 2),(bx^(2)-a, x ge ...

    Text Solution

    |

  8. y = tan^(-1)((3x-x^3)/(1-3x^2)), 1/(sqrt3) , x , 1/(sqrt3).

    Text Solution

    |

  9. f(x) = {((sin 2x)^(tan^(2)2x), x ne pi/4),(k, x = pi/4):}. If f(x) is ...

    Text Solution

    |

  10. If f(x) = {((x^(5)-32)/(x-2), x ne 2),(k, x =2):} is continuous at x =...

    Text Solution

    |

  11. If the function f(x) = [((cos x)^(1//x),x ne 0),(k,x = 0):} is continu...

    Text Solution

    |

  12. If f(x) ={(3x-4, 0lexle2),(2x+lambda, 2ltxle3):} is continuous at x = ...

    Text Solution

    |

  13. If f(x) = (2x^(3)-ax+3)/(x-3) is continuous at x = 3, then

    Text Solution

    |

  14. If [x]^(2)-5[x]+6=0, where [.] denotes the greatest integer function, ...

    Text Solution

    |

  15. lim(x rarr oo) (log x)/([x]), where [.] denotes the greatest integer f...

    Text Solution

    |

  16. If f(x) is an odd function and lim(x rarr 0) f(x) exists, then lim(x r...

    Text Solution

    |

  17. lim(x rarr 0) (sin x)/(x (1 + cos x)) is equal to :

    Text Solution

    |

  18. lim(x rarr (pi)/(2)) (1-sin x)/(cos x) is equal to :

    Text Solution

    |

  19. lim(x rarr 0) (|x|)/(x) is equal to :

    Text Solution

    |

  20. lim(x rarr 1) [x-1], where [*] is the greatest integer function is equ...

    Text Solution

    |