Home
Class 12
MATHS
Show that the function f(x)=2x-|x| is co...

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

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

Show that the function f(x)=2x-|x| is continuous but not differentiable at x=0

Show that the function f(x)=|sinx+cosx| is continuous at x=pi .

Show that the function f(x) = |sinx+cosx| is continuous at x = pi .

Show that the function f(x)=|x-2| is continuous but not differentiable at x=2.

Show that f(x)=|x| is continuous at x=0

Show that the function f(x)=|x-3|,\ x in \ |R , is continuous but not differentiable at x=3.

Show that the function f(x)=|x-3|,\ x in \R , is continuous but not differentiable at x=3.

Show that the function f(x) = |x-4|, "x"inR is continuous, but not differentiable at x = 4.

In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f(0) must be defined as

Show that the function f(x) =x^2 is continuous and differentiable at x=2.

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Discuss the continuity of the function f(x) given by f(x)={2-x ;\ \...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. If the function f(x) defined by f(x)={(log(1+a x)-log(1-b x))/x ,\ \ \...

    Text Solution

    |

  10. Find the values of ' a ' so that the function f(x) defined by f(x)={(s...

    Text Solution

    |

  11. If the function f(x) given by f(x)={3a x+b ,\ \ \ if\ x >1\ \ \ \ \ \ ...

    Text Solution

    |

  12. Let f(x)={(1-cos4x)/(x^2),\ \ \ if\ x<0a ,\ \ \ if\ x=0(sqrt(x))/(sqrt...

    Text Solution

    |

  13. Determine f(0) so that the function f(x) defined by f(x)=((4^x-1)^3)/...

    Text Solution

    |

  14. If f(x)=(sqrt(2)cosx-1)/(cotx-1) , x!=pi/4 . Find the value of f(pi/4)...

    Text Solution

    |

  15. Prove that the greatest integer function [x] is continuous at all ...

    Text Solution

    |

  16. Leg f(x+y)=f(x)+f(y)fora l lx , y in R , If f(x) is continue at x=0,...

    Text Solution

    |

  17. Show that the function f(x) = |sinx+cosx| is continuous at x = p...

    Text Solution

    |

  18. Does there exists value of f(0) such that the following function becom...

    Text Solution

    |

  19. A function f(x) is defined as f(x)={(x^2-x-6)/(x-3);\ \ \ if\ x!=3\ \ ...

    Text Solution

    |

  20. A function f(x) is defined as f(x)={(x^2-9)/(x-3);\ \ \ if\ x!=3\ \ \ ...

    Text Solution

    |