Home
Class 12
MATHS
Find the values of k so that the functio...

Find the values of k so that the function f is continuous at the indicated point : `f(x)={(kcosx/(pi-2x),,,, if x ne pi/2),(3,,,, if x=pi/2):}` at `x=pi/2`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

Find the values of k so that the function f is continuous at the indicated point : f(x)={(kx^2,,,, if x le2),(3,,,, if x>2):} at x=2

Find the values of k so that the function f is continuous at the indicated point : f(x)={(kx+1,,,, if x lepi),(cosx,,,, if x>pi):} at x=pi

Determine the constant k, so that function f (x} is continuous at the indicated points : f(x) {((x^2-9)/(x+1),if,x,ne,3),(k,if,x,=,3):} at x=3

In the following, determine the constant so that given function is continuous at indicated point: f(x) ={:{((x^2-3x+2)/(x-1), if x ne1),(k, if x =1):} at x =1

Determine the constant k, so that function f (x} is continuous at the indicated points : f(x) {((x^2-2x-3)/(x+1),if,x,ne,-1),(k,if,x,=,-1):} at x=-1

In the following, determine the constant so that given function is continuous at indicated point: f(x) ={:{(kx+1,if x le pi),(cosx, if x>pi):} at x = pi

Determine the constant k, so that function f (x) is continuous at the indicated points : f(x)= {((x^2-3x+2)/(x-1),if,x,ne,1),(k,if,x,=,1):} at x=1.

Examination the function f(x) given by f(x)={((cosx)/(pi/2-x) ,, x != pi/2),(1 ,, x = pi/2):} ; for continuity at x=pi/2

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  2. If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the...

    Text Solution

    |

  3. Check the continuity of the function f given by f(x) = 2x+3 at x=1

    Text Solution

    |

  4. Check the continuity of the following functions: f(x) = x^2atx=0

    Text Solution

    |

  5. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

    Text Solution

    |

  6. Examine the function f(x) = 2x^2-5 for its continuity at the point x =...

    Text Solution

    |

  7. Is the function defined by f(x) = |x|, a continuous function?

    Text Solution

    |

  8. Find the point at which the function f(x) = [x] is not continuous in (...

    Text Solution

    |

  9. Examine the following function for continuity: f(x) = x-5

    Text Solution

    |

  10. Examine the following functions for continuity: f(x) = x^3 + x^2-1

    Text Solution

    |

  11. Examine the following function for continuity: f(x) = 1/(x-5), x ne 5

    Text Solution

    |

  12. Examine the following function for continuity: f(x) = (x^2 -25)/(x+5),...

    Text Solution

    |

  13. Examine the following function for continuity: f(x) = |x-5|

    Text Solution

    |

  14. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  15. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  16. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  17. Discuss the continuity of the following function: f(x) = sinx + cosx

    Text Solution

    |

  18. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  19. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  20. Discuss the continuity of the following functions: f(x) = (sinx)/(co...

    Text Solution

    |

  21. Prove that f(x) = |sin x| is continous at all point of its domnin.

    Text Solution

    |