Home
Class 12
MATHS
Show that f(x)={5x-4, when 0ltxle1, 4x^3...

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

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

Write the value of b for which f(x)={5x-4,when0 < x <= 1, 4x^2+3bx ,when 1 < x< 2 is continuous at x=1

The value of a for which the function f(x) = {[5x-4,if 0ltxle1],[4x^2 + 3ax , if 1ltxlt2]} is continous at every point of its domain is

Show that the function f defined as follows f(x)={(3x-2 ,, 0ltxle1),(2x^2-x ,, 1ltxle2),(5x-4 ,, xgt2):} is continuous at x=2 but not differentiable.

The value of b for which the function f(x)={5x-4,0xlt=1 , 4x^2+3b x ,1< x <2 and continuous at x=1

Show that f(x)=5x-4 , 0< x < 1 f(x)=4x^3-3x , 1< x <2 continuous at x=1

If f(x)={(x^2)/2, if 0<=x<1, 2x^2-3x+3/2, if1 <=x<=2 .Show that f is continuous at x=1 .

The function f(x)= {(5x-4 ", " 0 lt x le 1 ),( 4x^3-3x", " 1 lt x lt 2):}

If f(x)={{:(5x-4",",0ltxle1),(4x^(2)+3ax",",1ltxlt2):}

The value of a for which the function f(x)={5x-4\ \ \ ,\ \ \ if\ 0

Let f(x)={{:(5x-4",",0ltxle1),(4x^(3)-3x",",1ltxlt2.):} Find lim_(xto1)f(x).

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Discuss the continuity of the function f(x) at x=1//2 , where f(x)={...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |