Home
Class 14
MATHS
What is the value of k for which the fol...

What is the value of k for which the following function f(x) is continuous for all x?
`f(x)={{:((x^(3)-3x+2)/((x-1)^(2)),"for "xne1),(k,"for "x=1):}`

A

3

B

2

C

1

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTION

    PUNEET DOGRA|Exercise Practice Sheet|20 Videos
  • DIFFERENTION

    PUNEET DOGRA|Exercise Practice Sheet|20 Videos
  • DIFFERENTIAL EQUATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |84 Videos
  • FUNCTIONS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |74 Videos

Similar Questions

Explore conceptually related problems

What is the value of k for which the following fucntion f(x) is continuous for all x? f(x)={{:((x^(2)-3x+2)/((x-1)^(2))","," for "xne1),(k","," for " x=1):}

Determine the value of k for which the following function is continuous at x=3,f(x)={((x+3)^(2)-36)/(x-3),x!=3;k,x=3

the function f(x)=3x-1,x 2 is continuous on

For what value of k is the following function continuous at x=2? f(x)={[2x+1,;,x 2]}

For what value of k is the following function continuous at x=2?f(x)={2x+1quad ;quad if quad x

Find the value of k for which the function f(x)={k x+5, if x lt=2x-1, if x >2} is continuous at x=2

If f(x) is continuous at x=0 , where f(x)={:{((1+3x)^(1/x)", for " x != 0 ),(k", for " x =0):} , then k=

Discuss the continuity of the function : f(x)={{:((|x-2|)/(x-2)", "xne2),(1" ,"x=2):} at x = 2

If f(x) is continuous at x=1 , where f(x)={:{(k+x", for " x lt 1),(4x+3", for " x ge 1):} , then k=

Discuss the continuity of the function : f(x)={{:((1-cosx)/x^(2)", "xne0),(1", "x=0):} at x = 0.

PUNEET DOGRA-DIFFERENTION-PREV YEAR QUESTIONS
  1. Consider the following in respect of the function f(x)=|x-3|. I. f(x...

    Text Solution

    |

  2. Which one of the following functions is differentiable for all real va...

    Text Solution

    |

  3. What is the value of k for which the following function f(x) is contin...

    Text Solution

    |

  4. Which one of the following is correct in respect of the function f(x)=...

    Text Solution

    |

  5. If the function f(x)=(x(x-2))/(x^(2)-4),xnepm2 is continuous at x = 2,...

    Text Solution

    |

  6. At how many points is the function f(x)=[x] discontinuous?

    Text Solution

    |

  7. The function f(x)=xcosecx is

    Text Solution

    |

  8. Which one of the following is the differential equation that represent...

    Text Solution

    |

  9. What is the derivative of 2^((sinx)^(2)) with respect to sinx ?

    Text Solution

    |

  10. Consider the equation x^(y)=e^(x-y) What is (dy)/(dx) at x=1 equal t...

    Text Solution

    |

  11. Consider the equation x^(y)=e^(x-y) What is (d^(2)y)/(dx^(2)) at x=1...

    Text Solution

    |

  12. Derivative of sec^(2)(tan^(-1)x) w.r.t. x is

    Text Solution

    |

  13. If f(x)=sin(cosx) than f'(x)=

    Text Solution

    |

  14. If y=tan^(-1)((5-2tansqrt(x))/(2+5tan sqrt(x))) then what is (dy)/(dx)...

    Text Solution

    |

  15. If u=e^(ax)sinbx and v=e^(ax)cosbx. then what is u(du)/(dx)+v(dv)/(dx)...

    Text Solution

    |

  16. If y=|sinx|^(|x|), then what is the value of (dy)/(dx) at x=-(pi)/(6) ...

    Text Solution

    |

  17. What is (dsqrt(1-sin2x))/dx equal to, where pi/4ltxltpi/2 ?

    Text Solution

    |

  18. Let f(x+y)=f(x)f(y) and where f(x)=1+xg(x)phi(x), lim(xto0)g(x)=a and ...

    Text Solution

    |

  19. Consider the function f(x)={:{(x^(2)|x|x!=0),(" 0 "x=0):}} what is...

    Text Solution

    |

  20. if y=e^(x^(2)) then, what is (dy)/(dx) at x=pi equal to

    Text Solution

    |