# Thread: continuety of these functions ..

1. ## continuety of these functions ..

describe the continuety of these functions
http://img233.imageshack.us/img233/6141/76604020ql2.gif

regarding the [] functions i learned this fact

http://img184.imageshack.us/img184/2469/87823960yl2.gif

2. how to solve the splitted
i cant imagine the graph
i cant do a limit
because rational and irrational are infinitely mixed
what to do?

3. Originally Posted by transgalactic
describe the continuety of these functions
http://img233.imageshack.us/img233/6141/76604020ql2.gif

regarding the [] functions i learned this fact

http://img184.imageshack.us/img184/2469/87823960yl2.gif
I am sorry, but I am having trouble reading your handwriting. Does your link say

$f:x\longmapsto x\left\lfloor\frac{1}{x}\right\rfloor$

$f:x\longmapsto (-1)^{\lfloor x^2\rfloor}$

$f:x\longmapsto \left\{ \begin{array}{rcl} \min \Pi x & \mbox{if} & x\in\mathbb{Q}\\ 0 & \mbox{if} & x\not\in\mathbb{Q}\end{array}\right.$

What does $\min \Pi x$ mean?

4. its sin

i solved this question

### limit and continuety

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