Home
Class 12
MATHS
If f(x)=2x-|x|, then at x=0...

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

A

f is continuous

B

f is discontinuous

C

`underset(x rarr 0^(-))lim f(x)=3`

D

`underset(x rarr 0^(+))lim f(x)=1`

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

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

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

Discuss the continuity of f(x)={2x-1,quad x =0 at x=0

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

If f(x)=2^x-x^2 and f(x)=0 has m solutions f'(x)=0 has n solutions then m+n=

Examine the continuity of the function f(x) at x=0 for f(x)=x/(2|x|) where x!=0

Discuss the continuity of the function f(x) given by f(x)={2-x,x 0 at x=0

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

If f(x) = (2x+ tanx)/(x) , x!=0 , is continuous at x = 0, then f(0) equals

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If f(x) is continuous at x=2, where f(x)=((x^(2)-x-2)^(20))/((x^(3)-1...

    Text Solution

    |

  15. If f(x) is continuous at x=-2, where f(x)=(2)/(x+2)+(1)/(x^(2)-2x+4)-...

    Text Solution

    |

  16. If f(x) is continuous at x=1, where f(x)=(x^(n)-1)/(x-1), for x != 1...

    Text Solution

    |

  17. If f(x) is continuous at x=1, where f(x)=((x+3x^(2)+5x^(3)+...+(2n-1)...

    Text Solution

    |

  18. If f(x) is continuous at x=3, where f(x)={:{((x^(2)-9)/(x-3),", for"x...

    Text Solution

    |

  19. If f(x) is continuous at x=16, where f(x)={:{((x^(8)-(256)^(4))/(x^(4...

    Text Solution

    |

  20. If f(x) is continuous at x=0 , where f(x)=((27-2x)^(1/3)-3)/(9-3(243+...

    Text Solution

    |