Home
Class 11
MATHS
The function f(x)={{:((x^(2)-1)/(x^(3)+1...

The function `f(x)={{:((x^(2)-1)/(x^(3)+1)" "xne1),(P" "x=-1):}` is not defined for x = -1.
The value of f(-1) so that the function extended by this value is continuous is

A

`2/3`

B

`-2/3`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|58 Videos

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.5|34 Videos

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos

  • EXAMINATION QUESTION PAPER MARCH 2019

    PREMIERS PUBLISHERS|Exercise PART -IV|4 Videos

Similar Questions

Explore conceptually related problems

The function f(x)={:{((x^2-1)/(x^3+1),x ne -1),(P, x=-1):} is not defined for x=-1. The value of f(-1) so that the function extended by this value is continuous is……..

The function f(x)=(x^(2)-1)/(x^(3)-1) is not defined at x = 1. What value must we give f(1) in order to make f(x) continuous at x = 1?

Show that the function {{:((x^(3)-1)/(x-1)", ""if "xne1),(3", ""if "x=1):} is continuous on (-oo,oo)

The function f(x)=(x^2 -1)/(x^3 -1) is not defined at x=1.What value must we give f(1) in oreder to make f(x)continuous at x=1?

The function f(x)=(x^2-1)/(x^3-1) is not defined at x=1. What value must we give f(1) in order to make f(x) continuous at x=1?

Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so that the function f is continuous at x=0.

For what value of alpha is this function f(x)={{:((x^(4)-1)/(x-1)", ""if "xne1),(alpha", ""if "x=1):} continuous at x = 1?

For what value of a is this function f(x){:{((x^4-1)/(x-1)if,x ne 1),(aif,x=1):} continuous at x=1?

PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-SOLUTION TO EXERCISE 9.6
  1. Choose the correct or the most suitable answer from the given four alt...

    Text Solution

    |

  2. Choose the correct or the most suitable answer from the given four alt...

    Text Solution

    |

  3. Choose the correct or the most suitable answer from the given four alt...

    Text Solution

    |

  4. If f(x)=x(-1)[1/x]xle0, then the value of lim(xto0)f(x) is equal to

    Text Solution

    |

  5. Choose the correct or the most suitable answer from the given four alt...

    Text Solution

    |

  6. Let the function f be defined by f(x)={(3x0lexle1),(-3x+51ltxle2):}, t...

    Text Solution

    |

  7. If f:R rarr R is defined by f(x)= floor(x-3)+|x+4| for xepsilonR,then ...

    Text Solution

    |

  8. lim(xrarr0)(xe^x -sin2x)/x is :

    Text Solution

    |

  9. If lim(xto0)(sinpx)/(tan3x)=4, then the value of p is

    Text Solution

    |

  10. lim(alphato pi/4)(sinalpha-cosalpha)/(alpha-pi/4) is

    Text Solution

    |

  11. Choose the correct or the most suitable answer from the given four alt...

    Text Solution

    |

  12. Choose the correct or the most suitable answer from the given four alt...

    Text Solution

    |

  13. lim(xto0)(e^(tanx)-e^(x))/(tanx-x)=

    Text Solution

    |

  14. The value of lim(xto0)sinx/sqrtx is

    Text Solution

    |

  15. The value of lim(xtok^(-))x-[x], where k is an integer

    Text Solution

    |

  16. At x=3/2 the function f(x)=(|2x-3|)/(2x-3) is

    Text Solution

    |

  17. Let f : RRtoRR be defined by f(x)={{:(x" "x" is irrational"),(1...

    Text Solution

    |

  18. The function f(x)={{:((x^(2)-1)/(x^(3)+1)" "xne1),(P" "x=-1):} is...

    Text Solution

    |

  19. Let f be a continuous function on [2, 5]. If f takes only rational val...

    Text Solution

    |

  20. Let a function f be defined by f (x) =[x-|x|]/x for xne 0 and f(0)=2.T...

    Text Solution

    |