Home
Class 12
MATHS
If f(x) = {(2x+b, x lt alpha),(x+d, x ge...

If `f(x) = {(2x+b, x lt alpha),(x+d, x gea):}` is such that `lim_(x rarr alpha) f(x) = l`, then l =

A

2d-b

B

2b-d

C

2d+b

D

b-2d

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr 0) 2/x log (1+x) =

lim_(x rarr 0) (a^(x)-b^(x))/x =

lim_(x rarr 0) x/(sqrt(x+4)-2) =

lim_(x rarr 0) (3^(x)-2^(x))/x=

If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)] , then lim_(x rarr 0) f(x) is :

If f(x) is an odd function and lim_(x rarr 0) f(x) exists, then lim_(x rarr 0) f(x) is

If g(x) = (x^(2)+2x+3) f(x) and f(0) = 5 and lim_(x rarr 0) (f(x)-5)/(x) = 4, then g'(0) =

lim_(x rarr 0) ((x)/(tan^(-1) 2x)) is :

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(x rarr 0) (x.10^(x)-x)/(1-cos x) =

    Text Solution

    |

  2. lim(x rarr oo) ((x+a)/(x+b))^(x+b) =

    Text Solution

    |

  3. If f(x) = {(2x+b, x lt alpha),(x+d, x gea):} is such that lim(x rarr a...

    Text Solution

    |

  4. The quadratic equation whose roots are l and m, where l = lim(theta ra...

    Text Solution

    |

  5. lim(x rarr 0) (4^(x)-9^(x))/(x*(4^(x)+9^(x)) ) =

    Text Solution

    |

  6. If lim(xtoa)(a^(x)-x^(a))/(x^(x)-a^(a))=-, then :

    Text Solution

    |

  7. lim(x rarr pi/6) ((3sinx - sqrt3 cos x)/(6x-pi)) =

    Text Solution

    |

  8. lim(n rarr oo) 1/n^(3) sum(k=1)^(n) k^(2)x =

    Text Solution

    |

  9. If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,...

    Text Solution

    |

  10. If lim(x rarr 0) ((cos 4x + a cos 2x+b)/(x^(4))) is finite, then the v...

    Text Solution

    |

  11. lim(x rarr oo) {sqrt(x^(2) + 5x -7-x)} =

    Text Solution

    |

  12. lim(x rarr pi/6) (2sin^(2)x + sin x-1)/(2sin^(2)x-3sinx -1) =

    Text Solution

    |

  13. Let f(2)=4 and f'(2)=4. Then lim(xto2)(xf(2)-2f(x))/(x-2) is given b...

    Text Solution

    |

  14. The value of the constant alpha and beta such that lim(x rarr oo) ((x^...

    Text Solution

    |

  15. lim(theta rarr 0) (4 theta(tan theta-sin theta))/(1-cos 2 theta)^2 is

    Text Solution

    |

  16. For x in R, lim(x rarr oo) ((x-3)/(x+2))^(x) is equal to :

    Text Solution

    |

  17. lim(x rarr 0) (cos (sinx )-1)/x^(2) =

    Text Solution

    |

  18. lim(x rarr -2) (sin^(-1)(x+2))/(x^(2)+2x) =

    Text Solution

    |

  19. lim(n rarr oo) ((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1) ) =

    Text Solution

    |

  20. The value of lim(x rarr 0) (sqrt((1)/(2) (1-cos 2x)))/(x) is :

    Text Solution

    |