Home
Class 12
MATHS
Is the function f defined by f(x)={(x","...

Is the function f defined by `f(x)={(x","ifxle1),(5"," ifx>1):}` continuous at x=0

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

  • DETERMINANT

    V PUBLICATION|Exercise QUESTION BANK|136 Videos

Similar Questions

Explore conceptually related problems

Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continuous at x=1?

Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continuous at x=2?

Is the function defined by f(x)={(x+5","ifxle1),(x-5","ifxgt1):} a continuous function?

Find the relationship between a and b so that the function f defined by f(x)={(ax+1,ifxle2),(bx-3,if x>2):} is continous at x=2.

Is the function defined by f(x)={(x+3,ifxle1),(x-3,ifx>1):} a continuous function? Justify.

Examine whether the function defined by f(x)={(x+5,xle1),(x-5,x>1):} is continuous or not .

Find the value of a such that the function f(x) defined by f(x)={(ax+3,ifxle2),(a^2x-1,ifx>2):} is continuous function at x=2 .

Find the relation between 'a' and 'b' if the function f defined by f(x)={(ax+1,xle3),(bx+3,x>3):} is continuous.

Find the value of k such that the function f(x) defined by f(x)={(kx-1,ifxlepi/2),(sinx,ifx>pi/2):} is continuous function at x=pi/2 .

Show that the function f(x)={(x^3+3ifxne0),(1ifx=0):} is not continuous at x=0

V PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Examine the following functions for continuity f(x)=1/(x-5)

    Text Solution

    |

  2. Prove that the function f(x)=x^n is continuous at x=n, where n is a p...

    Text Solution

    |

  3. Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continu...

    Text Solution

    |

  4. Find all points of discontinuity of f where f is defined by f(x)={(2x+...

    Text Solution

    |

  5. Find all points of discontinuity of f, where f is defined by f(x)={(|...

    Text Solution

    |

  6. Evalute lim(xrarr0)f(x) , where f(x)={(absx/x, x ne 0),(0,x=0):}

    Text Solution

    |

  7. Find all points of discontinuity of f, where f is defined by f(x)={(x/...

    Text Solution

    |

  8. Examine the continuity of the function <be> f(x)={(x+1,xge1),(x^2+1,x<...

    Text Solution

    |

  9. Examine the continuity of the function f(x)={(x^3-3, if ,x le 2),...

    Text Solution

    |

  10. Examine whether the function defined by f(x)={(x+5,xle1),(x-5,x>1):}...

    Text Solution

    |

  11. Discuss the continuity of the function f(x)={(2 x , if , xlt0),( 0,...

    Text Solution

    |

  12. Find the derivative of the function given by f(x)=sin (x^2)

    Text Solution

    |

  13. Differentiate the function f(x)=sin [cos x^2] with respect to x.

    Text Solution

    |

  14. Differentiate the functions with respect to x: sin (x^2+5)

    Text Solution

    |

  15. Differentiate the functions with respect to x: cos (sin x)

    Text Solution

    |

  16. Differentiate the functions with respect to x: sin(a x+b)

    Text Solution

    |

  17. Differentiate sec(tan(sqrtx)) w.r.t.x

    Text Solution

    |

  18. Differentiate sin(ax+b)/(cos(cx+d)) w.r.t.x

    Text Solution

    |

  19. Differentiate cos(x^3)sin^2(x^5) w.r.t.x

    Text Solution

    |

  20. Differentiate the functions with respect to x: 2 sqrt(cot x^2)

    Text Solution

    |