Home
Class 11
MATHS
Evaluate the left-and right-hand limits ...

Evaluate the left-and right-hand limits of the function `f(x)={(|x-4|)/(x-4),x!=4, 0,x=4 ,at x=4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

The range of the function f(x)=(|x-4|)/(x-4) is

Find the domain and range of the function f(x)=(4-x)/(x-4)

4.Range of the function f(x)=(x+4)/(|x+4|) is

Find the range of the function f(x)=x^2-2x-4.

Find the domain of the function f(x) =(x^2-3x+5)/(x^2-5x+4) .

Evaluate the left hand and right hand limits of the function defined by f(x)={(1+x^(2)", if "0lexle1),(2-x^(2)", if "xgt1):}" at "x=1 also, show that lim f(x) does not exist.

Find the domain of the function f(x) = (x^(2))/(4-x^(2))

What value must be assigned to k so that the function f(x)={(x^4-256)/(x-4),x!=4 and k ,x=4 is continuous at x=4.

Find the range of the function f(x)=((1+x+x^2)(1+x^4))/x^3

The function f(x) = (4-x^(2))/(4x-x^(3)) is

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate the left-and right-hand limits of the function defined by f(...

    Text Solution

    |

  2. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim (x->oo)f(x) is

    Text Solution

    |

  3. Evaluate the left-and right-hand limits of the function f(x)={(|x-4|)/...

    Text Solution

    |

  4. If ("lim")(x->a)[f(x)g(x)] exists, then both ("lim")(x->a)f(x)a n d("l...

    Text Solution

    |

  5. If alpha1, ,alpha2, ,alphan are the roots of equation x^n+n a x-b=0, ...

    Text Solution

    |

  6. lim(x->0)((xtan2x-2xtanx)/(1-cos2x)^2) is equal to

    Text Solution

    |

  7. Evaluate: ("lim")(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

    Text Solution

    |

  8. lim(x->1)sqrt(1-cos2(x-1))/(x-1) a. exists and its equals sqrt(2) b....

    Text Solution

    |

  9. lim(x->0)sin^2(pi/(2-p x))^(sec^2((pi/(2-p x)))

    Text Solution

    |

  10. The value of lim(x->0)(sqrt(1/2(1-cos2x)))/x i s (a)1 (b) -1 (c...

    Text Solution

    |

  11. Evaluate: ("lim")(x->7/2)(2x^2-9x+8)^(cot(2x-7))

    Text Solution

    |

  12. If f(x)={{:((sin[x])/([x])","" ""for "[x]ne0),(0","" ""for "[x]=0):...

    Text Solution

    |

  13. Let f(a)=g(a)=k and their n t h derivatives exist and are not equal fo...

    Text Solution

    |

  14. If f(x)={(x^nsin(1/(x^2)),x!=0), (0,x=0):}, (n in I), then (a) lim(...

    Text Solution

    |

  15. Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate:...

    Text Solution

    |

  16. The value of lim(x to1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(...

    Text Solution

    |

  17. Evaluate : lim(x->0)(log)(tan^2x)(tan^2 2x)dot

    Text Solution

    |

  18. ("lim")(x vec 0)(sin(x^2))/(1n(cos(2x^2-x))) is equal to (a) 2 (b) ...

    Text Solution

    |

  19. If the graph of the function y=f(x) has a unique tangent at the point ...

    Text Solution

    |

  20. lim(x->-1)1/(sqrt(|x|-{-x}))(w h e r e{x} denotes the fractional...

    Text Solution

    |