Home
Class 12
MATHS
If f : R to R is defined by f (x) ...

If f : R ` to ` R is defined by
`f (x) = {:{((x+2)/(x^(2)+3x+2), if x in R - { 1,-2}), ( -1, if x = -2) , ( 0 , if x = -1 ) :} `
then f is continuous on the set

A

R

B

` R - { -2 }`

C

R - { -1}

D

R - { -1, -2}

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    SIA PUBLICATION|Exercise PROBLEMS|50 Videos
  • LOCUS AND TRANSFORMATION OF AXES

    SIA PUBLICATION|Exercise Problems|11 Videos

Similar Questions

Explore conceptually related problems

If f: RR to RR is defined by f(x)={{:(,(x+2)/(x^(2)+3x+2),"if "x in R-{-1,-2}),(,-1,"if "x=-2),(,1,"if "x=-1):} then is a continuous on the set

If f: R -{1, 2} to R -{1, 4} defined by f(x)=(x^(2)-4)/(x^(2)-3x+2) is

If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is

If f : R to R is defined by f (x) =x ^(2) - 3x + 2, find f (f (x)).

If f : R to R is defined by f(x) = x^(2)- 6x + 4 then , f(3x + 4) =

If f: R to R is defined by: f(x-1) =x^(2) + 3x+2 , then f(x-2) =

If f : R to R defined by f(x) = {{:((1+ 3x^(2) - cos 2x)/(x^(2)) , " for " x ne 0),(k , " for " x = 0 ):}

f: R to R defined by f (x) = x ^(2). then f^-1(x)

If f: R to R is defined by f(x) = 2x+|x| , then f(3x) -f(-x)-4x=

SIA PUBLICATION-LIMITS AND CONTINUITY-Problems
  1. If lim(xto 0) ( (cos 4x + acos 2x + b)/(x^(4) ) is finite , then th...

    Text Solution

    |

  2. If l(1) = lim(x to 2^(+)) (x + [x]) , l(2) = lim(x to 2^(-)) (2x - [x...

    Text Solution

    |

  3. If f(x) = {:{ ( (1- sqrt2e sinx)/(pi-4x) , if x ne pi/4), ( a , if x ...

    Text Solution

    |

  4. lim( x to 0) x^(2) sin ( pi/x) is equal to

    Text Solution

    |

  5. If f : R to R is defind by f(X) = {:{((x-2)/(x^(2) -3x +2 ) , " ...

    Text Solution

    |

  6. If f : R to R is defined by f (x) = {:{((x+2)/(x^(2)+3x+2), if x...

    Text Solution

    |

  7. The value of lim(n to oo ) 1/n^(3) sum(k =1)^(n) ( k^(2) x ) is

    Text Solution

    |

  8. If f(x) = {:{((sqrt(1+ + kx ) - sqrt(1-kx))/x , " for" -1 le x lt 0)...

    Text Solution

    |

  9. If f(x) = {:{((x -1)/(2x^(2) - 7 x +5) , " for " x ne 1) , (-1/3 ...

    Text Solution

    |

  10. If f(x) = x/(1 + |x|) for x in R then f(0) is equal to

    Text Solution

    |

  11. lim(x to pi/6) { (3 sin x - sqrt3 cos x)/( 6x - pi) } is equal to

    Text Solution

    |

  12. lf a > 0, lim(x to a) (a^(x) - x^(a))/( x^(x) -a ^(a)) = -1 then a ...

    Text Solution

    |

  13. lim(x to 0) ( 4^(x) - 9^(x))/(x ( 4^(x) + 9^(x)) is equal to

    Text Solution

    |

  14. The equadratic equation whose roots are l and m, where l = lim( th...

    Text Solution

    |

  15. If f : R to R is defind by f (x) = x - [x], where [x] , is the gr...

    Text Solution

    |

  16. If f : R to R is defind by f(x) = {:{ ( a^(2) cos x + b^(2)...

    Text Solution

    |

  17. lim(x to oo) ((x+a)/(x + b))^(a + b) is equal to

    Text Solution

    |

  18. lim(x to 0) ((x10^(x) -x)/ ( 1 cos x)) is equal to

    Text Solution

    |

  19. If f (x) = (x^(2) - 10 x + 25)/( x^(2) - 7x + 10) and f is continuo...

    Text Solution

    |

  20. lim( x to 0) ( sin x sin^( -1) x)/(x^(2) is equal to

    Text Solution

    |