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 x-cos x`, for `x!=0`, then `f(0)=`

A

2

B

0

C

-1

D

1

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)=(sin(x^(2)-x))/(x) , for x!=0 , then f(0)=

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

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

If f(x) is continuous at x=0 , where f(x)=(e^(5x)-e^(2x))/(sin 3x) , for x!=0 then f(0)=

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

If f(x) is continuous at x=0 , where f(x)=((4-3x)/(4))^(8/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)=

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If f(x) is continuous at x=sqrt(2), where f(x)=(sqrt(3+2x)-(sqrt(2)+1)...

    Text Solution

    |

  2. If f(x) is continuous at x=5, where f(x)=(sqrt(3+sqrt(4+x))-sqrt(6))/(...

    Text Solution

    |

  3. If f(x) is continuous at x=0, where f(x)=sin x-cos x, for x!=0, then ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |