Home
Class 12
MATHS
f(x) = {((sin x)/(x),,x,ne,0),(k-1,,x,=,...

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

A

2

B

0

C

`-1`

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PUNJAB BOARD-MATHEMATICS 2018

    OMEGA PUBLICATION|Exercise SERIES -C|19 Videos

  • PUNJAB BOARD-MATHEMATICS 2018

    OMEGA PUBLICATION|Exercise SERIES -C|19 Videos

  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-C|58 Videos

  • RELATIONS AND FUNCTIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |20 Videos

Similar Questions

Explore conceptually related problems

If f(x) = {((sin 5x)/(2x),,x,ne,0),(k,,x,=,0):} is continuous at x = 0 then value of k is :

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 :

If f(x) = {((tan3x)/(x),,, x!=0,),(4k,,,x,=0):} is continuous at x=0' then K=

If the function f is defined by f(x) = {(5,,x,ne,0),(a-1,,x,=,0):} and f is continuous at x = 0, then value of a is :

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

OMEGA PUBLICATION-PUNJAB BOARD-MATHEMATICS 2018-SERIES -B
  1. If * is a binary operation is defined by a**b=a^(2)+b^(2) then 3*5 is ...

    Text Solution

    |

  2. If A is a matrix of order 3xx3 and |A|=0 then |adj.A| is

    Text Solution

    |

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

    Text Solution

    |

  4. Distance between plane 3x + 4y - 20 = 0 and point (0, 0, - 7) is :

    Text Solution

    |

  5. If cos^-I x = y, then :

    Text Solution

    |

  6. Integrating factor of differential equation : dy/dx+y=3 is :

    Text Solution

    |

  7. By using the properties of definte, prove that int(0)^(pi//2)(sin^(3...

    Text Solution

    |

  8. Find particular solution of differential equation dy/dx=(1+y^2)/(1+x^2...

    Text Solution

    |

  9. Find the angle between the plane 2x + 3y-5z = 10 and the line passing ...

    Text Solution

    |

  10. If matrix A = [aij]3 xx 2 and aij = ( 3i - 2j )^2, then find matrix A.

    Text Solution

    |

  11. From differential equation representing the family of lines making equ...

    Text Solution

    |

  12. If P(A) = 7/13 , P(B) = 9/13 and P (A u B) = 12/13 then find P(A / B).

    Text Solution

    |

  13. Check whether Lagrange 's mean value theorem is applicable on : f (x) ...

    Text Solution

    |

  14. Evaluate : int (7dx)/(x(x^2-1)).

    Text Solution

    |

  15. If y=x^(tanx)+(tanx)^(x), then find (dy)/(dx).

    Text Solution

    |

  16. Using differentials find approximate value of (0.37)^(1/2)

    Text Solution

    |

  17. Evaluate int(x^(2)-1)/(x^(4)+1)dx

    Text Solution

    |

  18. Evaluate int(dx)/(x^3-1)

    Text Solution

    |

  19. If veca=2hati-3hatj+4hatk and vecb=5hati+hatj-hatk represents sides of...

    Text Solution

    |

  20. Two cards are drawn (without replacement) from a well shuffled deck of...

    Text Solution

    |