how to find lim(x tend 2)[x]

Question

debbieg · Answer

$$\Large \lim_{x \rightarrow a}x=a$$

for a constant a.

anonymous · Answer

two cases arise
case  1.
if x is an integer
case2.
If x is not an integer
now take the limit x tend to 2-
and x tend to 2+

debbieg · Answer

^huh?  I don't follow, lol.
Am I missing something and hence, making it too simple? I think it's just this:
|dw:1378573204029:dw|

amistre64 · Answer

im thinking the function needs to be better defined ...

what does {x} represent?  is it an attempt at an absolute value?  or a floor or ceiling or integer function?

amistre64 · Answer

...[x]  that is

debbieg · Answer

ooohhhhh, I'm sorry, I didn't notice the [ ] before.

Yes, that does change things. Scratch my answer above! Can't tell, without knowing what the function really is. :)

debbieg · Answer

But if you want $$\Large \lim_{x \rightarrow 2}x$$ then my analysis is right on the money. ;) LOL!  :)

amistre64 · Answer

if its spose to be a step function, then the limit from the right and left at a given integer are not the same - one exception is if its the int(x) function which does have a limit at x=0 ....

amistre64 · Answer

would be best to get an actual screenshot of picture :)

goformit100 · Answer

"Welcome to OpenStudy. I can guide regarding this useful site; ask your doubts from me, for it you can message me. Please use the chat for off topic questions. And remember to give the helper a medal, by clicking on "Best Answer". We follow a code of conduct, ( http://openstudy.com/code-of-conduct ). Please take a moment to read it."