Home
Class 12
MATHS
Discuss the continuity of the function (...

Discuss the continuity of the function ([.] represents the greatest integer function): `f(x)=[(log)_e x]`

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos

  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function ([.] represents the greatest integer function): f(x)=[sin^(-1)x]

Discuss the continuity of the function ([.] represents the greatest integer function): f(x)=[2/(1+x^2)],xgeq0

The greatest integer function f(x)=[x] is -

Draw the graph of |y|=[x] , where [.] represents the greatest integer function.

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1],w h e r e[dot] represents the greatest integer function

Discuss the continuity of f(x)={cot^(-1)x}({dot} represents the fractional part function).

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=x-[x-b],b in R

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=tan(pi/2[x])

Discuss the continuity of the function f given by f(x)= |x|" at "x=0 .

Discuss the continuity of the following functions : f(x)= sin x +cos x

CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the continuity of the function ([.] represents the greatest ...

    Text Solution

    |

  2. Discuss the continuity of the function ([.] represents the greatest ...

    Text Solution

    |

  3. Discuss the continuity of the function ([.] represents the greatest ...

    Text Solution

    |

  4. Match the following for the type of discontinuity at x=1 in column II ...

    Text Solution

    |

  5. Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|),x!=1,2, 6...

    Text Solution

    |

  6. If the function f(x)={(Ax-B ,, x le 1),(3x ,,1 lt x lt 2),(Bx^2-A ,, ...

    Text Solution

    |

  7. If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the...

    Text Solution

    |

  8. Draw the graph and discuss the continuity of f (x) = [sin x + cos x], ...

    Text Solution

    |

  9. f is a continous function in [a, b]; g is a continuous function in [b,...

    Text Solution

    |

  10. If the function f(x) defined as f(x) defined as f(x)={3,x=0(1+(a x+b x...

    Text Solution

    |

  11. A twice differentiable function f(x)is defined for all real numbers an...

    Text Solution

    |

  12. If y = y(x) and it follows the relation e^(xy) + y cos x = 2, then fin...

    Text Solution

    |

  13. If y=e^(-x)cosxa n dyn+kn y=0,w h e r eyn=(d^n y)/(dx^n)a n dkn are c...

    Text Solution

    |

  14. If y^(3)-y=2x, then (x^(2)-(1)/(27))(d^(2)y)/(dx^(2))+x(dy)/(dx)=

    Text Solution

    |

  15. f(x)=sin^(-1)(x-1)+cos^(-1)(x-2), then domain of f(x) is

    Text Solution

    |

  16. In the function f(x)=[(x-2)^3/a]sin(x-2)+acos(x-2), (where [.] denote...

    Text Solution

    |

  17. Let g(x)=[(3x^2-4sqrtx+1, x<1),(ax+b, x>=1)) If g(x) is continuous and...

    Text Solution

    |

  18. If f is an even function such that lim(hrarr0)(f(h)-f(0))/h has some f...

    Text Solution

    |

  19. Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function...

    Text Solution

    |

  20. Number of points where f(x)=|x sgn(1-x^2)| is non-differentiable is...

    Text Solution

    |