Home
Class 12
MATHS
The value of 'k' which makes the functio...

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

A

8

B

1

C

-1

D

None of these

Text Solution

Verified by Experts

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

For what value of 'k' is the function defined by f(x) = {:{(k(x^2+2),ifxle0),(3x+1,ifx>0):} continuous at x =0? Also write whether the function is continuous at x =1.

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.

If function defined by : f(x)= {((sin3x)/(2x),,x,ne,0),(k+1,,x,=,0):} is continuous at x = 0, then value of k is :

If function defined by : f(x)= {((sin3x)/(4x),,x,ne,0),(k+1,,x,=,0):} is continuous at x = 0, then value of k is :

If function defined by : f(x)= {((sin5x)/(3x),,x,ne,0),(k+1,,x,=,0):} is continuous at x = 0, then value of k is :

Determine the value of the constant k so that the function f(x) = {:{((sin2x)/(5x), if x ne 0),(k, if x = 0):} is continuous at x = 0

Let f(x)={(xsin(1/x), x ne 0),(k, x=0):} find k if f is continuous at x=0,

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

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0...

    Text Solution

    |

  2. The function f(x) = [x], where [x] denotes the greatest integer functi...

    Text Solution

    |

  3. The value of 'k' which makes the function defined by : f(x) = {:{(sin(...

    Text Solution

    |

  4. If u = sin^-1(2x/(1+x)^2) and v = tan^-1(2x/(1-x^2)), the du/dv is

    Text Solution

    |

  5. If x=t^2, y = t^3, then (d^2y)/(dx^2) is

    Text Solution

    |

  6. The value of 'c' in Rolle's Theorem for the function f(x) =x^3 - 3x in...

    Text Solution

    |

  7. The value of 'c' in mean Value Theorem for the function f(x) =x(x-2) i...

    Text Solution

    |

  8. The derivative of f(x) =|x | at x=0 is

    Text Solution

    |

  9. The derivative of log(ax+b) is

    Text Solution

    |

  10. If f(x) = {:{(kx+1,xle5),(3x-5,x>5):} s is a continuous function then ...

    Text Solution

    |

  11. The derivative of sin^3 (x^5) w.r.t. x is

    Text Solution

    |

  12. If y = log(cose^x), then dy/dx = ……….

    Text Solution

    |

  13. If y =e^(sin(logx), then the value of dy/dx is

    Text Solution

    |

  14. If x^3 + y^3 =10, then the vale of dy/dx is

    Text Solution

    |

  15. If f(x) = {:{(kx^2,x <2),(3,xge2):} is continous at x =0, the value of...

    Text Solution

    |

  16. If x = 2at, y = at^2, then dx/dy is equal to :

    Text Solution

    |

  17. If the function f is defined by f(x) = {(3,,x,ne,0),(a+1,,x,=,0):} and...

    Text Solution

    |

  18. The derivative of cos^-1(e^x) is

    Text Solution

    |

  19. Find the derivative of sin (logx) (x>0) w.r.t.x

    Text Solution

    |

  20. The derivative of log (cosec x) is

    Text Solution

    |