Home
Class 12
MATHS
The value of f(0) so that the function f...

The value of `f(0)` so that the function `f(x)=(2-(256-7x)^(1/8))/((5x+32)^(1//5)-2),x!=0` is continuous everywhere, is given by

A

`-1`

B

1

C

26

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 2|56 Videos

Similar Questions

Explore conceptually related problems

The value of f(0), so that the function f(x)=((27-2x)^(1/3)-3)/(9-3(243+5x)^(1//5))(x!=0) is continuous, is given by (a) 2/3 (b) 6 (c) 2 (d) 4

The value of f(0), so that the function f(x)=((27-2x)^(1/3)-3)/(9-3(243+5x)^(1//5))(x!=0) is continuous, is given by (a) 2/3 (b) 6 (c) 2 (d) 4

The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4)) is continuous everywhere is

The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4)) is continuous everywhere is

The value of f(0) such that the function f(x)=(root3(1+2x)-root4(1+x))/(x) is continuous 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

The value of k for which the function f(x)={(sin(5x)/(3x)+cosx, xne0),(k, x=0):} is continuous at x=0 is

Show that the function f(x) given by f(x)={(xsin(1/x),x!=0),(0,x=0):} is continuous at x = 0

The function f(x)=((3^x-1)^2)/(sinx*ln(1+x)), x != 0, is continuous at x=0, Then the value of f(0) is

Find the value of k , so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

OBJECTIVE RD SHARMA ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. (a) Draw the graph of f(x) = ={{:(1",",, |x| ge 1), ((1)/(n^(2)) ",",,...

    Text Solution

    |

  2. The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...

    Text Solution

    |

  3. The value of f(0) so that the function f(x)=(2-(256-7x)^(1/8))/((5x+32...

    Text Solution

    |

  4. The following functions are continuous on (0, pi) (a) tan x (b)under...

    Text Solution

    |

  5. If f(x)=xsin1/x ,\ x!=0 , then the value of the function at x=0 , s...

    Text Solution

    |

  6. Let f(x) = [x] and g(x) = {{:(0",",x in Z),(x^(2)",",x in R - Z):}, th...

    Text Solution

    |

  7. Let f(x) = lim( n to oo) m ( sin x)^(2n) then which of the follow...

    Text Solution

    |

  8. Let f(x) be a function differentiable at x=c. Then underset(x to c)lim...

    Text Solution

    |

  9. If (lim)(x->c)(f(x)-f(c))/(x-c) exists finitely, write the value of...

    Text Solution

    |

  10. if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):}

    Text Solution

    |

  11. The function f(x)=|x|+|x-1| is

    Text Solution

    |

  12. For the function f(x)={{:(,|x-3|,x ge 1),(,(x^(2))/(4)-(3x)/(2)+(13)/(...

    Text Solution

    |

  13. Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is contin...

    Text Solution

    |

  14. If 4x+3|y|=5y, then y as a function of x is

    Text Solution

    |

  15. If f(x)=x^3sgn(x), then

    Text Solution

    |

  16. For a real number y, Let [y] denotes the geatest integer less than ...

    Text Solution

    |

  17. If f(x)={{:(,x^(2)sin((1)/(x)),x ne 0),(,0, x=0):}, then

    Text Solution

    |

  18. The following functions are differentiable on (-1,2)

    Text Solution

    |

  19. If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f...

    Text Solution

    |

  20. The derivative of f(x)=|x|^(3) at x=0, is

    Text Solution

    |