Home
Class 12
MATHS
If f(x)=|x|, then at x=0...

If `f(x)=|x|`, then at `x=0`

A

discontinuous

B

continuous

C

`underset(x rarr0)lim f(x)=1`

D

`underset(x rarr 0)lim f(x)=-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos
  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

If f(x)=2x-|x| , then at x=0

If f(x)=|x|e^(x), then at x=0

Write the derivative of f(x)=|x|^(3) at x=0

Discuss the differentiability of f(x)=|x^(3)| at x=0

If f(x)=sgn(x)={(|x|)/(x),x!=0,0,x=0 and g(x)=f(f(x)) then at x=0,g(x) is

If f(x)=-x, when x 0=0, when x>0 then test the continuity of f(x) at x=0

If f(x)=(sin(x^(2)))/(x),x!=0,f(x)=0,x=0 then at x=0,f(x) is

Discuss the differentiability of f(x)=x|x| at x=0

Discuss the differentiability of f(x)=x|x| at x=0

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. The function f(x)= |x| is

    Text Solution

    |

  2. The function f(x)=[cos x] is

    Text Solution

    |

  3. If f(x)=|x|, then at x=0

    Text Solution

    |

  4. If f(x) is continuous at x=3, where f(x)={:{(|x-3|", for " x !=3),(k"...

    Text Solution

    |

  5. If f(x)=[x], where [x] is the greatest integer not greater than x, in ...

    Text Solution

    |

  6. If f(x)=|(1+x)|x||, then f is

    Text Solution

    |

  7. If f(x)= | x|+|x-1|, then in [-1, 2]

    Text Solution

    |

  8. The function f(x)=x+|x| is continuous for

    Text Solution

    |

  9. The function f(x) = |x| AA x in R is

    Text Solution

    |

  10. If f(x)=2x-|x|, then at x=0

    Text Solution

    |

  11. If f(x)={:{((x)/(|x|)", for " x!=0),(c", for " x=0):}, then f is

    Text Solution

    |

  12. If f(x)={:{((|x|)/(x)", for " x!=0),(1", for " x=0):}, then

    Text Solution

    |

  13. If f: R rarr R is defined bu f(x)=[x-3] + |x-4| for x in R, then li...

    Text Solution

    |

  14. If f(x)={:{((cot x-cos x)/((pi-2x)^(3))", for " x != (pi)/(2)),(k ", f...

    Text Solution

    |

  15. If f(x)=log(sec^(2)x)^(cot2) for xne0 for x=0 is continuous at x=0, th...

    Text Solution

    |

  16. The function f(x)=(2x^(2)+7)/(x^(3)+3x^(2)-x-3) is discontinuous for

    Text Solution

    |

  17. If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of dis...

    Text Solution

    |

  18. If f(x) is continuous at x=3, where f(x)=(x^(2)-7x+12)/(x^(2)-5x+6),fo...

    Text Solution

    |

  19. If f(x) is continuous for all x, where f(x)={:{((x^(2)-7x+12)/((x-2)^...

    Text Solution

    |

  20. If f(x) is continuous at x=2, where f(x)={:{((x^(2)-(a+2)x+a)/(x-2)"...

    Text Solution

    |