Home
Class 12
MATHS
Find the value of k in the following fun...

Find the value of k in the following function f is continuous at the indicated point `f(x) = {{:((1-cos kx)/(x sin x )",", "if" x ne 0),(1/2",","if" x =0):}`at `x=0`.

Text Solution

Verified by Experts

The correct Answer is:
`k = pm 1`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2

    ARIHANT PUBLICATION|Exercise Long Answer Type Questions|13 Videos

  • SAMPLE PAPER 2

    ARIHANT PUBLICATION|Exercise Long Answer Type Questions|13 Videos

  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|13 Videos

  • SAMPLE PAPER 3

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS |13 Videos

Similar Questions

Explore conceptually related problems

For what value of k the following function is continuous at x=0 ? f(x)={{:((1-cos4x)/(8x^(2))", "x!=0),(k", "x=0):}

Find the derivative of the following functions from definition at the indicated points. x^3+2x^2-1 at x=0

For what valueof K is the following function continuous at x = 2 ? f(x)={(2x+1,when x 2):}

Examine the continuity of the following functions at indicated points. f(x)={((sin2x)/x if xne0 at x=0),(2 if x=0):}

Test differentiability of the following function at the indicated points. f(x)=[x^2+1]at x=-1/2

Examine the continuity of the following functions at indicated points. f(x)=sinfrac{pi[x]}{2}atx=0

Show that the function f(x)=2x-|x| is continuous at x=0 .

Examine the continuity of the following functions at indicated points. f(x)={(1/(e^(1/2)-1)ifxgt0 at x=0),(0 if xle0):}

Examine the continuity of the following functions at indicated points. f(x)={((e^(1/x)-1)/(e^(1/x)+1)if xne0 at x=0),(0 if x=0):}

Examine the continuity of the following functions at indicated points. f(x)={(sinfrac{1}{x}if xnea),(0 if x=0 atx=0):}

ARIHANT PUBLICATION-SAMPLE PAPER 2-Short Answer Type Questions
  1. Find (dy)/(dx) if y=sin^(-1) ((1-x^(2))/(1+x^(2))) 0 lt x lt1

    Text Solution

    |

  2. Answer any three questions Using properties of determinants, prove t...

    Text Solution

    |

  3. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |

  4. Using elementary transformation , find the inverse of the following ma...

    Text Solution

    |

  5. Answer any three questions Let A = [{:(0,1),(1,2):}]and f(x) =x^(2) ...

    Text Solution

    |

  6. Answer any three questions If x = a ( theta - sin theta) and y = a (...

    Text Solution

    |

  7. Find the value of k in the following function f is continuous at the i...

    Text Solution

    |

  8. Find the intervals in which the function f(x)= 2x^(3) - 9x^(2) + 12 x ...

    Text Solution

    |

  9. Answer any three questions Use Lagrange's mean value theorem to dete...

    Text Solution

    |

  10. Answer any three questions Find the derivative of tan^(-1) [ (sqrt( ...

    Text Solution

    |

  11. Answer any three questions Evaluate int e^(x) ((1 + sin x)/( 1 + cos...

    Text Solution

    |

  12. Evaluate int(-1)^(3//2)|xsin(pix)|dx.

    Text Solution

    |

  13. Solve the differential equation 2ye^(x//y) dx + (y-2xe^(x//y) ) dy =0.

    Text Solution

    |

  14. Solve the following differential equation (1+x^(2) ) (dy)/( dx) - 2xy ...

    Text Solution

    |

  15. Sketch the graph of y = |x+3| and evaluate int(-6)^(0) | x+3| dx.

    Text Solution

    |

  16. Answer any three questions if hat(a), hat(b) and hat(c ) are unit ve...

    Text Solution

    |

  17. Answer any three questions Find the coordinates of the point, where ...

    Text Solution

    |

  18. Answer any three questions If a = hat(i) + 2 hat(j) + 3 hat(k) and b...

    Text Solution

    |

  19. Answer any three questions If the vertices A,B and C of Delta ABC ar...

    Text Solution

    |

  20. Find the value of p, so that the lines (1-x)/(3) = (7y -14)/(2p) = (z-...

    Text Solution

    |