Home
Class 11
MATHS
The value of f(0) so that the function f...

The value of f(0) so that the function `f(x)=frac(2x-sin^-1x)(2x+tan^-1x` is continuous at each point in its domain is equal to

A

2

B

`frac(1)(3)`

C

`frac(2)(3)`

D

`-frac(1)(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the value of f(0) so that the function. f(x)=(sqrt(1+x)-1+x3)/x becomes continuous at x=0

Find the domain of the function: f(x)=(sin^(-1)x)/x

If the function f(x)=(2-sqrt(x+4))/(sin2x)(x ne 0) is continuous at x = 0, then f(0) is equal to -

Domain of the function f(x)= sin^(- 1)(1+3x+2x^2)

Show that the function defined by f(x)= sin (x^2) is a continuous function.

The domain of definition of the function f(x)=sin^(-1)(|x-1|-2) is

The domain of definition of the function f(x)=sin^(-1)(|x-1|-2) is

Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

Find the domain of the function : f(x)=sin^(-1)((log)_2x)

The domain of the function f(x)=sin^(-1)(x-3)/sqrt(9-x^2) is

PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. The integer n for which lim(x rarr0)((cos x-1)(cosx-e^x))/x^n is a fin...

    Text Solution

    |

  2. The value of lim(xrarrinfty)frac(x+cosx)(x+sinx is

    Text Solution

    |

  3. The value of f(0) so that the function f(x)=frac(2x-sin^-1x)(2x+tan^-1...

    Text Solution

    |

  4. Which of the following function has finite number of points of discont...

    Text Solution

    |

  5. Let f (x) = [3+2 cos x] , x in (-frac(pi)(2),frac(pi)(2)) where [.] de...

    Text Solution

    |

  6. If y = frac(1)(t^2-t-6 and t = frac(1)(x-2) then the values of x wh...

    Text Solution

    |

  7. The function f(x) = [x]^2-[x^2] (where [.] denotes the greatest integ...

    Text Solution

    |

  8. f + g may be continuous function, if

    Text Solution

    |

  9. If f(x) is continuous function AAx in R and the range of f(x) = (2, sq...

    Text Solution

    |

  10. Let f(x) be a continuous function defined for 1 le x le 3. If f(x) tak...

    Text Solution

    |

  11. If alpha, beta (alpha < beta) are the points of discontinuity of the f...

    Text Solution

    |

  12. If f(x) = sec 2x + cosec 2x, then f(x) is discontinuous at all points ...

    Text Solution

    |

  13. For a real number y, let [y] denotes the greatest integer less than or...

    Text Solution

    |

  14. If f(x)={(x^3, x gt 0),(0, x=0),(-x^3, x lt0):}

    Text Solution

    |

  15. Let h(x) = min {x, x^2}, x in R then h(x) is

    Text Solution

    |

  16. The set of all points where the functionf(x)= frac(x)(1+|x| is differe...

    Text Solution

    |

  17. Let f(x) = a+ b|x| + c|x|^4 where a, b and continuous are real constan...

    Text Solution

    |

  18. If f(x) = sqrt(1-sqrt1-x^2 , then at x = 0

    Text Solution

    |

  19. If f(x) = 2x + |x-x^2|, - 1 lex le1 then f(x) is

    Text Solution

    |

  20. Let f(x+y) = f(x) . f(y) for all x,y where f(0) ne 0. If f(5) =2 and f...

    Text Solution

    |