Home
Class 12
MATHS
Examine the function f(X) = {:{((1-cos3x...

Examine the function `f(X) = {:{((1-cos3x)/(x), x ne 0),(0,x=0):}` for continuity at x = 0

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

Determine the value of the constant k so that the function f(x) = {:{((sinkx)/x, x ne 0),(4+x, x = 0):} is continuous at 0.

Let f(x) = {:{((3x+4tanx)/x, x ne0),(k, x = 0):} then f is continuous at x = 0 for

Show that the function f(x) = {:{(x^n sin(1/x), x ne 0),(0, x = 0):} is continuous but not differentiable at x= 0.

The value of 'k' which makes the function defined by : f(x) = {:{(sin(1/x), if x ne0),(k,ifx=0):} continuous at x =0 is

Examine for continuity the function : f(x) = {:{(sin^-1 |x|, x ne 0), (0, x = 0):} at x = 0

Examine for continuity, the function 'f' defined by f(x) = {:{(e^(1//x), x ne 0),(0,x=0):} at x = 0

Find the values of a so that the function f defined by f(X) = {:{((sin^2ax)/x^2, x ne 0),(1, x = 0):} may be continuous at x = 0.

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

Let f(x) = {:{((1-cosax)/(xsinx), x ne 0),(1/2, if x = 0):} If f is continuous at x=0, find a.

f(x) = {((sin x)/(x),,x,ne,0),(k-1,,x,=,0):} is continuous at x = 0, then k is :

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. The value of the constant k so that the function f(x)={((x^(2)-3x+2)/...

    Text Solution

    |

  2. The constant k, so that the f(x) = {{:((x^(2) - 2x - 3)/(x + 1),"if",x...

    Text Solution

    |

  3. Examine the function f(X) = {:{((1-cos3x)/(x), x ne 0),(0,x=0):} for c...

    Text Solution

    |

  4. For what value of k, function f (x) is continuous at x = 0 where f(x) ...

    Text Solution

    |

  5. A function f(x) is defined as f(x) = {:{((x^2-x-6)/(x-3), x ne 3),(5,x...

    Text Solution

    |

  6. Discuss the continuity of the function f(x), where f(x)= {:{(2-x, x < ...

    Text Solution

    |

  7. Discuss the continuity of the function f(x) at x = 0 , where f(x) ={:{...

    Text Solution

    |

  8. Discuss the continuity of the function f(x) at x = 2, where f(x) = {:{...

    Text Solution

    |

  9. Discuss continuity of f(X) = {:{(-1,x<0),(2-x,xge0):} at x = 0

    Text Solution

    |

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

    Text Solution

    |

  11. Examine the following functions for continuity: f(x) = {:{(x+a,x<1),...

    Text Solution

    |

  12. Examine the following functions for continuity: f(x) = {:{((|x-3|)/(...

    Text Solution

    |

  13. Examine the following functions for continuity: f(x) = {:{((x-|x|)/x...

    Text Solution

    |

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

    Text Solution

    |

  15. Examine the following functions for continuity: f(x) = |x| + |x-1| ...

    Text Solution

    |

  16. Examine the continuity of the function f(x) = {:{(3x-2,xle0),(x+1,x>0)...

    Text Solution

    |

  17. Is the function f(X) = {:{((1-x^n)/(1-x), x ne 1),(n-1,x=1):}, n in N ...

    Text Solution

    |

  18. If f(x) = {{:((x)/(|x| + 2x^2)"," ,x != 0),(k",", x = 0):} Prove tha...

    Text Solution

    |

  19. Determine the value of the constant k so that the function f(x) = {:{(...

    Text Solution

    |

  20. Determine the value of the constant k so that the function f(x) = {:{(...

    Text Solution

    |