Home
Class 12
MATHS
If the function f(x) = (( 3x + 4 tan x)...

If the function ` f(x) = (( 3x + 4 tan x))/x ` continuous at x=0? If not, hwo may the funcation be defined to make it continuous at this point ?

A

f(x) `= {{:((3x+4tanx)/(x),x ne0),(7,x=0):}`

B

f(x) `= {{:((3x+4 tan x)/(x),xne0),(6,x=0):}`

C

f(x) `= {{:((3x+4 tan x)/(x),x=0),(7,xne0):}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS CONTINUITY AND DIFFERENTIABILITY

    BITSAT GUIDE|Exercise BITSAT Archives |28 Videos
  • INDEFINITE INTEGRAL

    BITSAT GUIDE|Exercise BITSAT Archives |14 Videos
  • LINEAR PROGRAMMING

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|3 Videos

Similar Questions

Explore conceptually related problems

Prove that the function defined by f(x)=tan x is a continuous function.

Prove that the function defined by f(x)=tan is a continuous function.

The function f(x)={[3x+5, if x 0], at x=0 is continuous or not?

In order that the function f(x) = (x+1)^(cot x) is continuous at x=0 , the value of f(0) must be defined as :

If f(x)=((3x+tan^(2) x)/x) is continuous at x=0 , then f(0) is equal to.

Show that the function defined by f(x)=|cos x| is a continuous function.

Prove that the function f(x) =2x-|x| is continuous at x=0.

Is the function defined by f(x)={x+5, if x 1 a continuous function?

BITSAT GUIDE-LIMITS CONTINUITY AND DIFFERENTIABILITY -BITSAT Archives
  1. If the function f(x) = (( 3x + 4 tan x))/x continuous at x=0? If not...

    Text Solution

    |

  2. lim(x rarr 0) (1+x)^(8)-1 is equal

    Text Solution

    |

  3. lim(x rarr tan^(-1) 3) (tan^(2) x -2 tan x -3)/(tan^(2)x-4 tan x +3) ...

    Text Solution

    |

  4. lim ( xrarr -oo) (x^(4).sin((1)/(x))+x^(2))/(1+|x|^(3)) is equal to

    Text Solution

    |

  5. lim(x rarr 1) (x^(m)-1)/(x^(n)-1) is equal to

    Text Solution

    |

  6. If f(x) = = {{:([tan ((pi)/(4)+x)]^(1//x),x ne0),(k ,x=0):} For what...

    Text Solution

    |

  7. The value of lim(x rarr 0) ((1+5x^(2))/(1+3x^(2)))^(1/x^2) is

    Text Solution

    |

  8. lim(x rarr 0) ((2+x) sin (2+x) - 2 sin2)/(x) is equal to

    Text Solution

    |

  9. If f(x)=((3x+tan^(2) x)/x) is continuous at x=0, then f(0) is equal to...

    Text Solution

    |

  10. If f(x) = (log (1+ax)-log (1-bx))/(x) for x ne 0 and f(0) = k and f(x...

    Text Solution

    |

  11. lim(x rarr0) (sin x)/(x)

    Text Solution

    |

  12. lim(x->0)(cos(sinx)-1)/(x^2)

    Text Solution

    |

  13. In order that the function f(x) = (x+1)^(1/x) is continuous at x = 0, ...

    Text Solution

    |

  14. The function f (x ) = |x | at x = 0 is

    Text Solution

    |

  15. lim(x rarr 0) (cosec x )^(1//"log"x) is equal to

    Text Solution

    |

  16. The value of lim(xtooo)((x+6)/(x+1))^(x+4), is

    Text Solution

    |

  17. The set of points where the function f(x) = x |x| is differentiable i...

    Text Solution

    |

  18. lim(x->2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2) is equal to

    Text Solution

    |

  19. lim(x rarr 1) (1-x) tan((pi x)/2)

    Text Solution

    |

  20. If f: R rarr R is defined by f(x) = [ x -3] + | x-4| for x in R then...

    Text Solution

    |

  21. If f : R rarr R is defined by f(x) = {{:((cos 3x-cosx )/(x^(2)), "f...

    Text Solution

    |