Home
Class 12
MATHS
If f(x) = |x-2|, then...

If `f(x) = |x-2|`, then

A

`lim_(x to 2^(+))f(x) != 0`

B

`lim_(x to 2^(-))f(x) != 0`

C

`lim_(x to 2^(+))f(x) != lim_(x to 2^(-))f(x)`

D

f(x) is continuous at x = 2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos
  • CONTINUITY

    TARGET PUBLICATION|Exercise Critical Thinking|80 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=|x-2| , then

If f(x)=|x-2|-|x-4|, then f(x)=k has

If f(x)=x+2," then "f'(f(x))" at "x=4 , is

If f(x)=x+2, then f'(f(x))atx=4 is

If f(x)= x^2+7x+10 then f(2) =?

Range of f(x) = |x-2| is

If f(x)=x^(2) then the value of f+3 is

If f(x)=x^2+2x+1 , then: f(x-1)-=

If f(x)=|x-2| and g(x)=f(f(x)), then for 2

TARGET PUBLICATION-CONTINUITY-Competitive Thinking
  1. If f(x) = {((sin 2x)/(5x), ",", "when" x != 0),(k, ",", "when" x = 0...

    Text Solution

    |

  2. If f(x) = {((3sin pix)/(5x), ",",x != 0),(2k, ",",x = 0):} is continu...

    Text Solution

    |

  3. If f(x) = |x-2|, then

    Text Solution

    |

  4. If f(x) = |x-b|, then the function

    Text Solution

    |

  5. If f(x) = {(1, ",", "when" 0 lt x le (3pi)/4),(2(sin) 2/9x, ",", "when...

    Text Solution

    |

  6. If f(x) = {((1-cosx)/x, ",", x != 0),(k, ",", x = 0):} is continuous a...

    Text Solution

    |

  7. If the function f(x) = {((cosx)^(1/x), ",", x != 1),(k, ",", x = 1):} ...

    Text Solution

    |

  8. If f(x) = {((log(e )x)/(x-1), ",", x != 1),(k, ",", x = 1):} is contin...

    Text Solution

    |

  9. The function f(x) = (1-sin x + cos x)/(1+sin x + cosx) is not defined ...

    Text Solution

    |

  10. If {:(f(x),=((e^(kx)-1)^(2)sinx)/(x^(3)),",",x != 0),(,=4, ",",x = 0):...

    Text Solution

    |

  11. If f(x) = (e^(x^2)-cos x)/(x^(2)), "for" x != 0 is continuous at x = 0...

    Text Solution

    |

  12. For what value of k, the function defined by {:(f(x),=(log(1+2x)sinx^(...

    Text Solution

    |

  13. If {:(f(x),=log(1-3x)(1+3x),",",x != 0),(,=k, ",",x = 0):} is contin...

    Text Solution

    |

  14. If {:(f(x),=(log)(sec^2x)^(cot^2x),",","for"x != 0),(,=k, ",","for"x =...

    Text Solution

    |

  15. If the function {:(f(x),=[log((pi)/4+x)]^(1/x),",","for"x != 0),(,=k, ...

    Text Solution

    |

  16. Function f(x) = {((log(2)2x)^(log(x)8), ",", x != 1),((k-1)^(3), ",", ...

    Text Solution

    |

  17. For the function f(x) = (log(e )(1+x)-log(e )(1-x))/(x) to be continuo...

    Text Solution

    |

  18. The function f(x) = (log(1+ax)-log(1-bx))/(x) is not defined at x = 0....

    Text Solution

    |

  19. If the function f(x) = {((x^(2)-(A+2)x+A)/(x-2), ",", x != 2),(2, ",",...

    Text Solution

    |

  20. The value of k which makes f(x) = {((sin(1/x)), ",", x != 0),(k, ","...

    Text Solution

    |