1what was the warning about [7]
What is
00
Warning: Either dont get confused after seeing the solution or dont see the solution at all....... This might be really dangerous for your limits concept!
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38 Answers
13let me get a few posts back... as i saw dis one juzz now...
1/0 is undefined and not indeterminate form... as ∞ is not a defined value, but not an indeterminate value...
0/0 is indeterminate form... the other indeterminate forms are 00, ∞∞, ∞/∞, 0∞, ∞0 and 1∞
1after much thinking all i can come up with is
ltx→0x0=1
but 00 is undefined
i dont think i am wrong [1]
i KNOW that I am wrong [4]
33@philip
ltx→0x0=1 its indeterminate... not =1
but 0exact/0exact = undefined..
62well it is
1) undefined
2) Indeterminate too...
The thing to not is that there are people who have argued that it is actually 1. There is a sense of consensus among a lot of mathematicians that it is 1.
Why calculators show it as 1? Because they have been programmed using limits of sequences! (Almost always!)
And when you take limit xx x going to 0 ... what will be the answer?
Infact it depends on the calculators as to how they have been programmed to find such limits!!! (basically all calculators do approximations!!!!)
1i know we can prove x0=1 by writing x0=x/x
but is it perfectly correct !!
maybe im dreaming
gnite ...........
gnite = google nite haha[4] jus kidding
good night
62i thought that this might be confusing for people....
but then u guys are smart ;)
1no its not that we were not confused but when you say something like that it can scare us
u know just like 12-1-09 QOTD
so i thot there was something worse than this[1]
1if 0 is divide d by any no. gives us like 0/1=0....
if any no. is divided by 0 ,ans is ∞ like 1/0=∞..
so 0° can be written as o/o...and from above we can see 2 results are possible...so this value is undefined....
360/0 form in known as indeterminate form...
The error in the proof below is this 0/0 form...
Let a = b
=> ab = b2
=> ab - a2 = b2 - a2
=> a(b-a) = (b+a)(b-a)
=> a = b + a
puttin a = 1, => b = 1 [from the first step]
=> 1 = 1 + 1
=> 1 = 2 .... How?..............
11when ur telling a = b i.e, a-b=0
how can you cancel (a-b) from both sides... which can b done nly be done by assuming (a-b)≠0.
either a-b=0 or a=b+a...
both can not occur simultaneously..
1strangely my program and the calculator say 1
and this is one of the few times im reluctant to agree
1i think 1∞ should be 1 straight away
but it is ltx→1x∞ that causes problems
33I think x0 =x/x [7]
so 00 = 0exact/0exact so it is not indeterminate but undefined...
[1]
62@philip there is a reason for google to do that
@Pirate: Is ∞ defined for reals??? How something that contains it be?
is it indeterminate or undefined?