Home
Class 11
MATHS
If f(x)={(a+bx,x<1),(4,x=1),(b-ax,x>1):}...

If `f(x)={(a+bx,x<1),(4,x=1),(b-ax,x>1):}` and
`lim_(xrarr1)f(x)=f(1)` , then find the value of a and b.

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise Question Bank|45 Videos

  • LINEAR INEQUALITIES

    V PUBLICATION|Exercise QUESTIONBANK|95 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(a+bx,x 1):} and lim_(xrarr1)f(x)=f(1) , then find the value of a and b.

If f(x)={(x-absx,x 2):} Find lim_(xrarr2)f(x)

Suppose f(x) = { (a+bx , x lt 1),(4 , x = 1), (b - ax , x gt 1) :} and if lim_(x rarr 1) f(x) = f(1) what are the possible values of a and b ?

Evalute lim_(xrarr1)(x^3-1)/(x-1)

if f(x)=x/(x-1) , x!=1 find the inverse of f

Find lim_(x rarr 5) f(x) , where f(x) = |x| -5

lim_(xrarr0)(sqrt(1+x)-1)/x

Evalute lim_(xrarr1)(x^7-1)/(x^4-1)

If f(x)=3x^(2)-7x+5 , then lim_(xrarr0)(f(x)-f(0))/(x) is equal to

V PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
  1. Evalute lim(xrarr0)f(x) , where f(x)={(absx/x, x ne 0),(0,x=0):}

    Text Solution

    |

  2. Find lim(x rarr 5) f(x), where f(x) = |x| -5

    Text Solution

    |

  3. If f(x)={(a+bx,x<1),(4,x=1),(b-ax,x>1):} and lim(xrarr1)f(x)=f(1) , ...

    Text Solution

    |

  4. Let a(1), a(2), …………….,a(n) be fixed real numbers and define a functio...

    Text Solution

    |

  5. If f(x)={(absx + 1 , x lt 0),(0 , x = 0),(absx - 1 , x gt 0) :} , for ...

    Text Solution

    |

  6. If the function f(x) satisfies lim(x rarr 1) (f(x)-2)/(x^(2)-1) = pi, ...

    Text Solution

    |

  7. Find the derivative at x = 2 of the function f(x) = 3x.

    Text Solution

    |

  8. Find the derivative of the function f(x)=2x^2+3x-5 at x=-1.Also prove ...

    Text Solution

    |

  9. Find the derivative of sin x at x = 0.

    Text Solution

    |

  10. Find the derivative of f(x) = 3 at x = 0 and x =3.

    Text Solution

    |

  11. Find the derivative of f(x) = 10x.

    Text Solution

    |

  12. Find the derivative of y=x^2 using the first principle.

    Text Solution

    |

  13. Find the derivative of the constant function f(x) = a for a fixed real...

    Text Solution

    |

  14. Find the derivative of 1/x from first principle.

    Text Solution

    |

  15. Compute the derivative of 6x^(100)-x^(55)+x.

    Text Solution

    |

  16. Derivative of f(x)=1+x+x^2+x^3+…+x^50 at x=1 is a)50 b)1250 c)1275 d)1...

    Text Solution

    |

  17. Find the derivative of f(x) = (x+1)/x.

    Text Solution

    |

  18. Compute the derivative of sin x.

    Text Solution

    |

  19. Find the derivative of tan x using first principle.

    Text Solution

    |

  20. (b)Compute the derivative of f(x)=sin^2x

    Text Solution

    |