Home
Class 12
MATHS
Let f(x)=|x|+|x-1|, then...

Let `f(x)=|x|+|x-1|,` then

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

Let f(x)=x+2|x+1|+2|x-1|dot If f(x)=k has exactly one real solution, then the value of k is (a) 3 (b) 0 (c) 1 (d) 2

Let f(x)=(x-1)/(x+1), then f(1) i equal to

Let f(x)={1+|x|,x<-1[x],xgeq-1 , where [.] denotes the greatest integer function. The find the value of f{f(-2.3)}dot

Let f(x)=x+2|x+1|+x-1|dotIff(x)=k has exactly one real solution, then the value of k is 3 (b) 0 (c) 1 (d) 2

Let f(x) = |x-1|+|x+1| Discuss the continuity and differentiability of the function.

Let f(x) = 1 + |x|,x = -1, where [*] denotes the greatest integer function.Then f { f (- 2.3)} is equal to

Let f(x)=log_(e)|x-1|, x ne 1 , then the value of f'((1)/(2)) is

Let f(x)=x-(1)/(x) then which one of the following statements is true?

Let f(x)={1-|x|,|x| leq 1 and 0,|x| lt 1 and g(x)=f(x-)+f(x + 1) , for all x in R .Then,the value of int_-3^3 g(x)dx is

Let f(x)=x(x-1)^(2), find the point at which f(x) assumes maximum and minimum.

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

    Text Solution

    |

  2. Determine the value of k for which the following function is continuo...

    Text Solution

    |

  3. Let f(x)=|x|+|x-1|, then

    Text Solution

    |

  4. The function f(x)=(4-x^2)/(4x-x^3) a)discontinuous at only one poin...

    Text Solution

    |

  5. If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1. Then (A)f...

    Text Solution

    |

  6. Discuss the continuity of the f(x) at the indicated points: f(x)=|x...

    Text Solution

    |

  7. Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0.

    Text Solution

    |

  8. Given f(x)=1/(x-1). Find the points of discontinuity of the composite ...

    Text Solution

    |

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

    Text Solution

    |

  10. Show that the function f(x) given by f(x)={xsin1/x ,x!=0 0,x=0

    Text Solution

    |

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

    Text Solution

    |

  12. Examine the function f(t) given by f(t)={(cost)/(pi//2-t);\ \ \ t!=pi/...

    Text Solution

    |

  13. Show that the function f(x) given by f(x)={((e^(1/x)-1)/(e^(1/x)+1), ...

    Text Solution

    |

  14. Discuss the continuity of the function f(x) at x=1//2 , where f(x)={...

    Text Solution

    |

  15. Discuss the continuity of the function f(x) given by f(x)={2-x ;\ \...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |