Home
Class 12
MATHS
Examine for continuity, each of the foll...

Examine for continuity, each of the following functions:
`f(x) = {:{((x-a) sin (1/(x-a)), x ne a), (0, x = a):}` at x = a

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

Examine for continuity and differentiability, each of the following functions: f(x) = {:{(x^2 sin (1/x), x ne 0),(0, x =0):} at x = 0

Examine the following functions for continuity: f(x) = {:{((x-a) cos (1/(x-a)), x ne a),(0, x = a):} at x = a

Examine for continuity the following functions: f(x) = {:{(x^2, if xle1),(x-2,ifx>1):}

Examine for continuity the following functions: f(x) = {:{(-2,if x le-1),(2x, if -1 1):}

Examine for continuity the following functions: f(x) = {:(x , if x ne 0),(1 , if x = 0):}

Examine for continuity the following functions: f(x) = {:(x/|x|, x ne 0),(0, x = 0):}

Examine for continuity and differntiability, each of the following functions: f(x) = {:{(1+x,xle0),(1-x, x >0):} at x =0

Examine for continuity the following functions: f(x) = {:(x^2, if x ge1),(x, if x < 1):}

Examine for continuity the following functions: f(x) = {:(2x-1, if x < 2),(3/2x, if x ge2):}

Examine the following functions for continuity: f(x) = {:{(x cos (1/x), x ne 0),(0, x = 0):} at x = 0

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Examine the following functions for continuity: f(x) = {:{(x cos (1/...

    Text Solution

    |

  2. Examine for continuity and differentiability, each of the following fu...

    Text Solution

    |

  3. Examine for continuity, each of the following functions: f(x) = {:{(...

    Text Solution

    |

  4. Examine for continuity and differentiability, each of the following fu...

    Text Solution

    |

  5. Examine for continuity and differntiability, each of the following fun...

    Text Solution

    |

  6. Examine for continuity the following functions: f(x) = {:(x^2, if x ...

    Text Solution

    |

  7. Let f(x) = x+ |x|. Show that f is continuous but not derivable at x = ...

    Text Solution

    |

  8. Show that the function f(x) = {{:(-x^2, x le 0),(x^2 ,x gt 0):} is con...

    Text Solution

    |

  9. The function 'f' defined as: f(x) = {:{(x^2+3x+a,ifxle1),(bx+2,ifx>1...

    Text Solution

    |

  10. Find ainR so that f(x) = {:{(x^2, x ge0),(ax,x<0):} is continuous at 0...

    Text Solution

    |

  11. Examine the differentiability of the function 'f' defined by: f(x) =...

    Text Solution

    |

  12. Show that the function 'f' defined as follows, is continuous at x = 2,...

    Text Solution

    |

  13. If f(x) = e^x, find f' (3) starting from defination

    Text Solution

    |

  14. If f(x) = e^(sqrtx) find f' (x) .

    Text Solution

    |

  15. A function f : R rarr R satisfies the equation f(x + y) = f(x).f(y) fo...

    Text Solution

    |

  16. If f(x) = log (2x-1), find f'( c ) .

    Text Solution

    |

  17. If f(x) = {{:(x((e^(1//x) - e^(-1//x))/(e^(1//x)+e^(-1//x)))",",x ne 0...

    Text Solution

    |

  18. Find f'(X) using first prinicples when f(x) =e^(3x -2)

    Text Solution

    |

  19. Find f'(X) using first prinicples when f(x) = log(2x +3)

    Text Solution

    |

  20. Find derivative of each of the following functions: e^x + log x

    Text Solution

    |