Home
Class 12
MATHS
Determine whether f(x)={(sinx^2)/x\ \ \ ...

Determine whether `f(x)={(sinx^2)/x\ \ \ ,\ \ \ x!=0 0\ \ \ ,\ \ \ x=0` is continuous at `x=0` or not.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(1-cosx)/(x^2)\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous at x=0 , find kdot

f(x)={(2|x|+x^2)/x ,\ \ \ x!=0 ,\ \ \ and 0 at x=0 is continuous at x = 0 or not.

Determine the value of the constant k so that the function f(x)={(sin2x)/(5x),\ \ \ if\ x!=0 \ \ \ \ ,k \ \ \ if\ x=0 is continuous at x=0 .

Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0,\ \x+1\ \ \ ,\ \ \ xgeq0 is everywhere continuous.

Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0\ \ \ \ \x+1\ \ \ ,\ \ \ xgeq0 is everywhere continuous.

If f(x)={(sin3x)/x ,\ \ \ w h e n\ x!=0 1,\ \ \ w h e n\ x=0 . Find whether f(x) is continuous at x=0 .

If f(x)={e^(1//x),\ \ \ if\ x!=0 1,\ \ \ if\ x=0 . Find whether f is continuous at x=0

Determine the value of the constant m so that the function f(x)={m(x^2-2x)\ \ \ \ \ if\ x<0,\ \ \ cosx \ \ if\ xgeq0 is continuous.

Discuss the continuity of the function f(x)={x/(|x|)\ \ \ ,\ \ \ x!=0 0\ \ \ ,\ \ \ x=0 .

Show that f(x)=|x| is continuous at x=0

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(...

    Text Solution

    |

  2. If f(x)={(x^2-16)/(x-4), if\ x!=4k\ ,if\ x=4 is continuous at x=4 , fi...

    Text Solution

    |

  3. Determine whether f(x)={(sinx^2)/x\ \ \ ,\ \ \ x!=0 0\ \ \ ,\ \ \ x=0 ...

    Text Solution

    |

  4. If f(x)={(1-cosx)/(x^2)\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuou...

    Text Solution

    |

  5. If f(x)={(sin^(-1)x)/x\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous...

    Text Solution

    |

  6. Write the value of b for which f(x)={5x-4,when0 < x <= 1, 4x^2+3bx ,wh...

    Text Solution

    |

  7. The function f(x)=(4-x^2)/(4x-x^3) (a) discontinuous at only one poin...

    Text Solution

    |

  8. If f(x)=|x-a|varphi(x) , where\ varphi(x) is continuous function, t...

    Text Solution

    |

  9. If f(x)=|(log)(10)x|,t h e na tx=1 f(x) is continuous and f^(prime)(1...

    Text Solution

    |

  10. If f(x)={(36^x-9^x-4^x+1)/(sqrt(2)-sqrt(1+cosx)),x!=0 \ \ \ \k ,x=0 is...

    Text Solution

    |

  11. If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1. Then (A)f...

    Text Solution

    |

  12. If f(x)={(1-sinx)/((pi-2x)^2)dot(logsinx)/((log(1+pi^2-4pix+4x^2))),x...

    Text Solution

    |

  13. If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to

    Text Solution

    |

  14. If f(x)={(log(1+a x)-log(1-b x))/x\ \ \ ,\ \ \ x!=0,\ \ \ \ \ \ \k\ \ ...

    Text Solution

    |

  15. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 \ \ \ \ \ \ \ 0,x=0 ...

    Text Solution

    |

  16. Let f(x)={(x-4)/(|x-4|)+a ,x<4 \ \ \ \ \a+b , x=4 \ \ \ \ \ \ ,(x-4)/...

    Text Solution

    |

  17. If the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , t...

    Text Solution

    |

  18. Let f(x)=|x|+|x-1|, then (a)f(x) is continuous at x=0, as well at ...

    Text Solution

    |

  19. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|)\ \ \ \ ,\ \ \ x!=1,\ 1 6\ \ \ \ ...

    Text Solution

    |

  20. If f(x)=f(x)={(sin(a+1)x+sinx)/(x), ,x<0,c \ at x=0, (sqrt(x+b x^2)-sq...

    Text Solution

    |