Home
Class 12
MATHS
Find the points of discontinuity of y = ...

Find the points of discontinuity of `y = (1)/(u^(2) + u -2)`, where `u = (1)/(x -1)`

A

`x=2, 1/2`

B

`x=1, 2, 1/2`

C

`x=2, (-1)/(2)`

D

`z=1, 2, (-1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos
  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

Find the point of discontinuity of y=f(u) where f(u)=(3)/(2u^(2)+5u-3) and u=(1)/(x+2)

Discuss the continuity for f(x) = (1 - u^(2))/(2 + u^(2)) , where u = tan x.

Discuss the continuity for f(x)=(1-u^(2))/(2+u^(2)) where u=sec x.

If x =u is a point of discontinuity of f(x)= lim_(n to oo) cos^(2n)x , then the value of cos u is

If y = (u -1)/(u + 1) and u = sqrt(x) , then (dy)/(dx) is

If y=(1)/(4)u^(4),u=(2)/(3)x^(3)+5 , then (dy)/(dx)=

If x=sqrt (1+u^(2)),y =log (1+u^(2) ) ,then (dy)/(dx) =

The function u_(n) takes on the following values : u_(1) = ( 1)/( 4) , u_(2) = ( 1)/( 4) + ( 1)/( 10)"…....." u_(n) =(1)/( 3+1) + ( 1)/( 3^(2) + 1)+"…........." (1)/( 3^(n) + 1)"…........." Prove that underset( n rarr oo) ( "lim") u_(a) lt (1)/(2)

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. The function f(x) =(2x^(2)+7)/(x^(3)+3x^(2)-x-3) is discontinuous for

    Text Solution

    |

  2. Find the points of discontinuity of y = (1)/(u^(2) + u -2), where u = ...

    Text Solution

    |

  3. If f(x) is continuous at x=3, where f(x)=(x^(2)-7x+12)/(x^(2)-5x+6),fo...

    Text Solution

    |

  4. If f(x) is continuous for all x, where f(x)={:{((x^(2)-7x+12)/((x-2)^...

    Text Solution

    |

  5. if the function f(x)=(x^2-(a+2)x+a)/(x-2) for x!=2 and f(x)=2 for x=2 ...

    Text Solution

    |

  6. If f(x) is continuous at x=2, where f(x)=((x^(2)-x-2)^(20))/((x^(3)-1...

    Text Solution

    |

  7. If f(x) is continuous at x=-2, where f(x)=(2)/(x+2)+(1)/(x^(2)-2x+4)-...

    Text Solution

    |

  8. If f(x) is continuous at x=1, where f(x)=(x^(n)-1)/(x-1), for x != 1...

    Text Solution

    |

  9. Examine the continuity of the given function at given points f(x)=(x+3...

    Text Solution

    |

  10. If f(x) is continuous at x=3, where f(x)={:{((x^(2)-9)/(x-3),", for"x...

    Text Solution

    |

  11. If f(x) is continuous at x=16, where f(x)={:{((x^(8)-(256)^(4))/(x^(4...

    Text Solution

    |

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

    Text Solution

    |

  13. If f(x)=(1+x)^(5//x) is continuous at x=0, then what is the value of f...

    Text Solution

    |

  14. If the function f(x) defined as : f(x) =(x^4-64x)/(sqrt(x^2+9)-5), for...

    Text Solution

    |

  15. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

    Text Solution

    |

  16. Evaluate : ("lim")(xvec2a^+)(sqrt(x-2a)+sqrt(x)-sqrt(2a))/(x^2-4a^2)

    Text Solution

    |

  17. If f(x) is continuous at x=sqrt(2), where f(x)=(sqrt(3+2x)-(sqrt(2)+1)...

    Text Solution

    |

  18. If f(x) is continuous at x=5, where f(x)=(sqrt(3+sqrt(4+x))-sqrt(6))/(...

    Text Solution

    |

  19. If f(x) is continuous at x=0, where f(x)=sin x-cos x, for x!=0, then ...

    Text Solution

    |

  20. If f(x) is continuous at x=pi/2, where f(x)=(sqrt(2)-sqrt(1+sin x))/(...

    Text Solution

    |