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)=(sin(pi cos^(2)x))/(x^(2))` ,for `x!=0` ,then `f(0)=`

A

`pi/2`

B

1

C

`-pi`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
D
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)=((e^(3x)-1)sin x^(@))/(x^(2)) , for x!=0 , then f(0)=

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

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

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

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

If f(x) is continuous at x=0 , where f(x)=((4^(sin x)-1)^(2))/(x log (1+2x)) , for x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=((3^(sin x)-1)^(2))/(x log (1-x)) , 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)=((1-cos2x)(3+cos x))/(x tan 4x) , for x!=0 , then f(0)=

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If f(x) is continuous at x=pi/2, where f(x)=(sqrt(2)-sqrt(1+sin x))/(...

    Text Solution

    |

  2. If f(x) is continuous at x=pi/4, where f(x)=(1-tanx)/(1-sqrt(2)sin x),...

    Text Solution

    |

  3. If f(x) is continuous at x=0 ,where f(x)=(sin(pi cos^(2)x))/(x^(2)) ,f...

    Text Solution

    |

  4. If f(x) is continuous at x=(pi)/(4) where f(x)=(2sqrt(2)-(cos x+sin x)...

    Text Solution

    |

  5. If f(x) is continuous at theta= pi/4, where f(theta)={:{((1-tan theta...

    Text Solution

    |

  6. The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is not defined at x=pi....

    Text Solution

    |

  7. If f(x) is continuous at x=pi/2, where f(x)=(cos x )/(sqrt(1-sinx)), ...

    Text Solution

    |

  8. If f(x) is continuous at x= pi/4, where f(x)=(cos x- sin x)/(cos 2x),...

    Text Solution

    |

  9. If f(x) is continuous at x= pi/4, where f(x)=(2-cosec^(2)x)/(cot x-1)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |