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0 raised to 0????

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by shashank.ism » Fri Feb 19, 2010 9:34 pm
ichadaram wrote:According to GMAT what is the value of 0 raised 0????
0^0 = indeterminate...its universal maths and GMAT can't define anything other than that...do you have any confusion or question regarding this ...please post question in reference to this..
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by ajith » Fri Feb 19, 2010 10:03 pm
ichadaram wrote:According to GMAT what is the value of 0 raised 0????
It's an interesting question - https://www.faqs.org/faqs/sci-math-faq/s ... bers/0to0/

It tends to 1 and considered to be 1 in most cases.
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by shashank.ism » Fri Feb 19, 2010 10:08 pm
ajith wrote:
ichadaram wrote:According to GMAT what is the value of 0 raised 0????
It's an interesting question - https://www.faqs.org/faqs/sci-math-faq/s ... bers/0to0/

It tends to 1 and considered to be 1 in most cases.
Ajith I saw your link ..and reallya good explanation is being posted there..
Well I want to say that if you go for exact value of 0^0 ...the value is indeterminate...
Well in case of calculus we go for limiting values ....
so if the question is lim x->0 [x^0] surely it will give you a value =1
because the limiting value of x tends to 0 but it is not exactly 0. and for the values which is not exactly 0 ..u know by mathematical rules x^0 =1 for x=/=0

so it not tends but it is actually 1 for all the values x->0 but = indeterminate for x=0.

Hope it solves the problem..
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by ajith » Fri Feb 19, 2010 10:12 pm
shashank.ism wrote:
ajith wrote:
ichadaram wrote:According to GMAT what is the value of 0 raised 0????
It's an interesting question - https://www.faqs.org/faqs/sci-math-faq/s ... bers/0to0/

It tends to 1 and considered to be 1 in most cases.
Ajith I saw your link ..and reallya good explanation is being posted there..
Well I want to say that if you go for exact value of 0^0 ...the value is indeterminate...
Well in case of calculus we go for limiting values ....
so if the question is lim x->0 [x^0] surely it will give you a value =1
because the limiting value of x tends to 0 but it is not exactly 0. and for the values which is not exactly 0 ..u know by mathematical rules x^0 =1 for x=/=0

so it not tends but it is actually 1 for all the values x->0 but = indeterminate for x=0.

Hope it solves the problem..
https://www.beatthegmat.com/integers-t53158.html

See this question... Although I initially mistook J^J and J^2 and solved; this is keeping me thinking.
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by shashank.ism » Fri Feb 19, 2010 10:58 pm
ajith wrote:
https://www.beatthegmat.com/integers-t53158.html

See this question... Although I initially mistook J^J and J^2 and solved; this is keeping me thinking.
Yeah Ajith you have given good example ...In that post some people have taken 0^0 = 1 ..but that is not correct..
and in the last reply "November" has replied too that "0^0 is undefined".
Well I have to do a bit of research work more.....But I am sure that 0^0 is indeterminate....
I will soon post sth new if I happened to find anything interesting...
Ajith if you find something related to this please post it..we really need to discuss it.
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