Home
Class 12
MATHS
If the function f(x)=(sin10 x)/x , x!=0 ...

If the function `f(x)=(sin10 x)/x` , `x!=0` is continuous at `x=0` , find `f(0)` .

Text Solution

AI Generated Solution

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 the function f(x)=(sin3x+a sin 2x+b)/(x^(3)), x ne 0 is continuous at x=0 and f(0)=K, AA K in R , then b-a is equal to

Find k if the function f(x)={(sin3x)/x ,x!=0;k/2,x=0 is continuous at x=0 . (a)3 (b) 6 (d) 9 (d) 12

If f(x)=(2x+3sinx)/(3x+2sinx) , x!=0 is continuous at x=0 , then find f(0)

Determine the values of a ,\ b ,\ c for which the function f(x)={(sin(a+1)x+sinx)/x , for x 0 is continuous at x=0

If f(x)=(2x+3sinx)/(3x+2sinx),x!=0 is continuous at x=0 , then find f(0)dot

For what value of k is the function f(x)={(sin2x)/x ,\ \ \ x!=0k ,\ \ \ x=0 continuous at x=0 ?

Determine the values of a , b , c for which the function f(x)={((sin(a+1)x+sinx)/(x ) ,, x 0):} is continuous at x=0

Let the function f(x)=x^(2)sin((1)/(x)), AA x ne 0 is continuous at x = 0. Then, the vaue of the function at x = 0 is

The value of the function f at x=0 so that the function f(x)=(2^(x)-2^(-x))/(x), x ne0 , is continuous at x=0 , is

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Find f(0) , so that f(x)=x/(1-sqrt(1-x)) becomes continuous at x=0 .

    Text Solution

    |

  2. The function f(x)={((sin3x)/x ,x!=0),(k/2,x=0):} is continuous of x...

    Text Solution

    |

  3. If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |