Home
Class 12
MATHS
Extend the defination of the functionf(x...

Extend the defination of the function`f(x) = (1-cos[7(x-pi)])/(5(x-pi)^2), x ne pi` by continuity at `x = pi`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

Find the value of f(pi/4) so that the function f(x) = (sqrt2cosx-1)/(cotx-1), x ne pi/4 , becomes continuous at x = pi/4

Determine the value of the constant k so that the function f(x) = {:{(kx+1, if x le pi),(cosx, if x > pi):} is continuous at x = pi .

In [0,pi/2] the function f(x) = log sin x is

Let f(x) = [sinx] , is f continuous at x = pi/2

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

The primitive of the function f(x)= x | cos x| , when pi/2 lt x lt pi is given by

The primitive of the function f(x)=(2x+1)|sin x| , when pi lt x lt 2 pi is

Find the values of 'p' and 'q' for which: f(x) = {:{((1-sin^3x)/(3cos^2x), if x pi/2 is continuous at x = pi//2

Range of the function f(x)=(cos^(-1)abs(1-x^(2))) is a. [0,pi/2] " " b. [0,pi/3] c. (o,pi) " " d. (pi/2,pi)

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Show that the function defined by g(x) = x-[x] is discontinuous at al...

    Text Solution

    |

  2. Show that the function f(x) = |sin x + cos x | is continuous at x = pi...

    Text Solution

    |

  3. Extend the defination of the functionf(x) = (1-cos[7(x-pi)])/(5(x-pi)^...

    Text Solution

    |

  4. Let f(x) = {:{(4x-3, if x<0),(4x + 3, if x ge 0):}. Is it a continuous...

    Text Solution

    |

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

    Text Solution

    |

  6. Prove that the following functions are continuous: cot x

    Text Solution

    |

  7. Prove that the following functions are continuous: sec x

    Text Solution

    |

  8. Prove that the following functions are continuous: sin^-1x

    Text Solution

    |

  9. Prove that the function f defined by f(x) = x^3 + x^2 -1 is a continuo...

    Text Solution

    |

  10. Prove that the following functions are continuous: |x+1| +| x|

    Text Solution

    |

  11. Prove that the following functions are continuous: sin |x|

    Text Solution

    |

  12. Prove that the following functions are continuous: |sin x|

    Text Solution

    |

  13. Prove that the following functions are continuous: |cos x|

    Text Solution

    |

  14. Prove that the following functions are continuous: cosx^2

    Text Solution

    |

  15. Show that the following functions are continuous: f(x) = sin(x^2)

    Text Solution

    |

  16. Prove that the following functions are continuous: e^(cosx)

    Text Solution

    |

  17. Prove that the following functions are continuous: e^x(tanx)

    Text Solution

    |

  18. Prove that the following functions are continuous: (x^2 + x+1)/((x-1...

    Text Solution

    |

  19. If f(x) = (|x-4|)/(4-x), x ne 4, f(4) = 0, show that f is continuous e...

    Text Solution

    |

  20. Examine for continuity the following functions: f(x) = {:(x , if x n...

    Text Solution

    |