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-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.

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

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. If f(x)=(1-sinx)/((pi-2x)^2),when x!=pi/2 and f(pi/2)=lambda, the ...

    Text Solution

    |

  2. The value of k which makes f(x)={sinx/x ,x!=0, and k , ...

    Text Solution

    |

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

    Text Solution

    |

  4. If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at e...

    Text Solution

    |

  5. Let f(x)={(x-4)/(|x-4|a+b)+a ,x<0 (x-4)/(|x-4|)+b ,x >0 Then, f(x) i...

    Text Solution

    |

  6. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|, x!=1,2 & 6, x=1 & 12 , x = 2 t...

    Text Solution

    |

  7. Let f (x)= {((1+ax )^(1//x), x lt 0),( ((x+c)^(1//3)-1)/((x+1)^(1//2) ...

    Text Solution

    |

  8. Determine the value of the constant m so that the function f(x)={m(x^...

    Text Solution

    |

  9. The value of f(0), so that the function f(x)=((27-2x)^(1/3)-3)/(9-3(2...

    Text Solution

    |

  10. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 0,x=0 (a)is continu...

    Text Solution

    |

  11. The points of discontinuity of the function f(x)={2sqrt(x),0<=x<=l. ...

    Text Solution

    |

  12. If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/4, find the value of which c...

    Text Solution

    |

  13. Find the values of a and b so that the function f(x) defined by f(x)={...

    Text Solution

    |

  14. f(x)={(sqrt(1+p x)-sqrt(1-p x))/x ,-1lt=x<0(2x+1)/(x-2),0geqxgeq1 is ...

    Text Solution

    |

  15. The value of f(0) so that the function f(x)=(2-(256-7x)^(1/8))/((5x+32...

    Text Solution

    |

  16. Find k if the function f(x)={(sin3x)/x ,x!=0;k/2,x=0 is continuous at...

    Text Solution

    |

  17. Discuss the continuity of the function f(x)={(sin2x)/x ,ifx<0,x+2,ifx...

    Text Solution

    |

  18. Test the continuity of the following function at the origin: f(x)={(|...

    Text Solution

    |

  19. Show that the function f(x) given by f(x)={(xsin(1/x),x!=0),(0,x=0):} ...

    Text Solution

    |

  20. Show that the function f(x) given by f(x)={(sinx)/x+cosx ,x!=0 and 2,...

    Text Solution

    |