Home
Class 12
MATHS
If f(x) is continuous at x=0, where f(x...

If `f(x)` is continuous at `x=0`, where `f(x) = {:{((x cos x+3tan x)/(x^(2)+sin x) ", for " x !=0),(k^(2) ", for " x=0):}`, then `k=`

A

2

B

-2

C

`pm2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

If f(x) is continuous at x=0 , where f(x)={:{((cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+1)-1)", for " x!=0),(2k", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1-cos k x)/(x^(2))", for " x!=0),(1/2 ", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1-cos k x)/(x^(2))", for " x!=0),(1/2 ", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((3^(x)-3^(-x))/(sin x)", for " x!=0),(k", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1-cos x)/(x)", for " x!=0),(k ", for" x = 0 ):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((9^(x)-9^(-x))/(sin x)", for " x!=0),(k", for " x=0):} , then k=

If f(x) = is continuous at x=0 , where f(x)=((1-cos2x)(3+cos x))/(x tan 4x) , for x!=0 , then f(0)=

If f(x) = is continuous at x=0 , where f(x)=((1-cos2x)(3+cos x))/(x tan 4x) , for x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=((e^(2x)-1)tan x)/( x sin x) , for x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)={((sin x)/(x)+cos x", for " x gt 0),((4(1-sqrt(1-x)))/(x)", for " x lt 0):} , then f(0)=

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If f(x) is continuous at x= pi/4, where f(x)=(2-cosec^(2)x)/(cot x-1)...

    Text Solution

    |

  2. If f(x) is continuous at x=0, where f(x)=(sin(x^(2)-x))/(x), for x!=0...

    Text Solution

    |

  3. If f(x) is continuous at x=0, where f(x) = {:{((x cos x+3tan x)/(x^(2...

    Text Solution

    |

  4. If f(x) is continuous at x=0, where f(x)=(sin (a+x)-sin (a-x))/(tan (a...

    Text Solution

    |

  5. f:R->R is defined by f(x)={(cos3x-cosx)/(x^2), x!=0lambda, x=0 and f ...

    Text Solution

    |

  6. If f(x) is continuous at x=0, where f(x)={:{((1-cos x)/(x)", for " x!...

    Text Solution

    |

  7. If f(x) is continuous at x=0, where f(x)={:{((1-cos k x)/(x^(2))", fo...

    Text Solution

    |

  8. If f(x) is continuous at x=0, where f(x)=(1-cos 3x)/( x tan x) for x ...

    Text Solution

    |

  9. If the function f(x) {((1 - cos 4x)/(8x^(2))",",x !=0),(" k,",x...

    Text Solution

    |

  10. If f(x) = is continuous at x=0, where f(x)=((1-cos2x)(3+cos x))/(x t...

    Text Solution

    |

  11. If alpha, beta are the roots of ax^(2)+bx+c=0 and f(x) is continuous a...

    Text Solution

    |

  12. If f(x) is continuous at x=0, where f(x)={:{((cos^(2)x-sin^(2)x-1)/(s...

    Text Solution

    |

  13. If f(x) is continuous at x=a, where f(x)=(sin (a+x)+sin(a-x)-2 sin a)...

    Text Solution

    |

  14. If f(x) is continuous at x=0, where f(x)=(3-4cos x+cos 2x)/(x^(2)), f...

    Text Solution

    |

  15. If f(x) is continuous at x=0, where f(x)=(3-4cos x+cos 2x)/(x^(4)), f...

    Text Solution

    |

  16. The value of k which makes f(x)={:{(sin(1/x)", for " x!=0),(k", for "...

    Text Solution

    |

  17. If the function f(x) defined by f(x)={(x"sin"(1)/(x)",", "for "x ne ...

    Text Solution

    |

  18. If f(x) is continuous at x=a, where f(x)=(x-a)sin((1)/(x-a)), for x!=...

    Text Solution

    |

  19. If (x)=(1-sqrt3tanx)/(pi-6x),"for"x nepi/6 is continous at x=pi/6, "fi...

    Text Solution

    |

  20. If f(x) is continuous at x=pi/4, where f(x)=(tan(pi/4 -x))/(cot 2x), f...

    Text Solution

    |