Home
Class 12
MATHS
if f(x)=(e^(x^(2))-cosx)/(x^(2)), for xn...

if `f(x)=(e^(x^(2))-cosx)/(x^(2))`, for `xne0` is continuous at `x=0`, then value of f(0) is

A

`3/2`

B

`1/2`

C

1

D

`(-1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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) = (e^(x^2)-cos x)/(x^(2)), "for" x != 0 is continuous at x = 0, then value of f(0) is

If f(x)=log(sec^(2)x)^(cot^2x) for xne0 and k for x=0 is continuous at x=0 , then k is

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

If the function f(x), defined as f(x)={{:((a(1-xsinx)+b cosx+5)/(x^(2)),":", xne0),(3,":",x=0):} is continuous at x=0 , then the value of (b^(4)+a)/(5+a) is equal to

If f(x)={{:("x sin"(1)/(x)",",xne0),(k",",x=0):} is continuous at x=0, then the value of k is

If f(x)=(sin 2x+A sinx+B cosx)/(x^(3)) is continuous at x = 0, then the values of A, B and f(0) are

If the function f(x)={((1-cosx)/(x^(2))",","for "x ne 0),(k,"for " x =0):} continuous at x = 0, then the value of k is

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If f(x) is continuous at x=0, where f(x)=((e^(2x)-1)tan x)/( x sin x)...

    Text Solution

    |

  2. If f(x) is continuous at x=0, where f(x)=((e^(3x)-1)sin x^(@))/(x^(2))...

    Text Solution

    |

  3. if f(x)=(e^(x^(2))-cosx)/(x^(2)), for xne0 is continuous at x=0, then ...

    Text Solution

    |

  4. If f(x) is continuous at x=0, where f(x)={:{((3^(x)-3^(-x))/(sin x)",...

    Text Solution

    |

  5. If f(x) is continuous at x=0, where f(x)={:{((9^(x)-9^(-x))/(sin x)"...

    Text Solution

    |

  6. If f(x) is continuous at x=0, where f(x)=(10^(x)+7^(x)-14^(x)-5^(x))/...

    Text Solution

    |

  7. If f(x) is continuous at x=0, where f(x)=((5^(x)-2^(x))x)/(cos 5x-cos...

    Text Solution

    |

  8. If f(x) is continuous at x=0, where f(x)=(4^(x)-2^(x+1)+1)/(1-cos x),...

    Text Solution

    |

  9. If f(x) is continuous at x=pi/2, where f(x)=(3^(x- pi/2)-6^(x- pi/2))...

    Text Solution

    |

  10. If f(x) is continuous at x=a,a>0, where f(x)=[(a^x-x^a)/(x^x-a^a), for...

    Text Solution

    |

  11. The function f(x) is condtions at the point x=0 where f(x)=log(1+kx)...

    Text Solution

    |

  12. For what value of k, the function defined by f(x)={((log(1+2x)sin x^...

    Text Solution

    |

  13. If f(x) is continuous at x=0, where f(x)=(log sec^(2)x)/(x sin x), fo...

    Text Solution

    |

  14. If f(x) is continuous at x=0, where f(x)=(log(1+x^(2))-log(1-x^(2)))/...

    Text Solution

    |

  15. If f(x) is continuous at x=0, where f(x)=(log(1+x+x^(2))+log(1-x+x^(2...

    Text Solution

    |

  16. If f(x) is continuous at x=0, where f(x)=(log(2+x)-log(2-x))/(tan x),...

    Text Solution

    |

  17. If f(x) is continous at x=0, where f(x) ((e^(3x)-1)sin x)/(xlog(1+x)),...

    Text Solution

    |

  18. If f(x)=((8^(x)-1)^(2))/(sin x log (1+ x/4)) in [-1, 1] - {0}, then f...

    Text Solution

    |

  19. If the function f(x)=((4^(sin x)-1)^(2))/(x*log(1+2x)), for x!=0 is c...

    Text Solution

    |

  20. If f(x) is continuous at x=0, where f(x)=((3^(sin x)-1)^(2))/(x log (...

    Text Solution

    |