Prove me wrong

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Dipan
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Prove me wrong

Unread post by Dipan » Thu Nov 24, 2011 10:26 pm

0^0 = 0^{1 - 1} = 0^1.0^-1 = 0.0 = 0

I can't get what and where is the mistake ...can anyone help me??

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nafistiham
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Re: Prove me wrong

Unread post by nafistiham » Thu Nov 24, 2011 11:41 pm

\[0^{-1}=\frac {1} {0}\]
we can not divide anything by $0$
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Dipan
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Re: Prove me wrong

Unread post by Dipan » Fri Nov 25, 2011 7:32 am

I expected this answer...now see, if
\[0^{-1}= \frac{1}{0}\]
then,
\[0 = 0^{1}=0^{2-1}=\frac{0^{2}}{0^{1}}=\frac{0}{0}
so, \frac{0}{0}=0


\]
but 0/0 is undefined..... I am looking for another perfect answer....

tanvirab
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Re: Prove me wrong

Unread post by tanvirab » Fri Nov 25, 2011 11:23 am

negative powers of $0$ is undefined, as nafistiham already said.

Dipan
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Re: Prove me wrong

Unread post by Dipan » Fri Nov 25, 2011 10:00 pm

make it clear to me.....which one is correct, \[0^{-1}=\frac{1}{0}or, 0^{-1}=0\]
\[0^{-1}=\frac{1}{0}or, 0^{-1}=0\]

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*Mahi*
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Re: Prove me wrong

Unread post by *Mahi* » Sat Nov 26, 2011 12:28 am

Dipan wrote:make it clear to me.....which one is correct, \[0^{-1}=\frac{1}{0}or, 0^{-1}=0\]
\[0^{-1}=\frac{1}{0}or, 0^{-1}=0\]
Both are wrong.
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Hasib
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Re: Prove me wrong

Unread post by Hasib » Sat Nov 26, 2011 12:44 am

$0^{-1}$ is undefined. So, you can not write something equal to it.
A man is not finished when he's defeated, he's finished when he quits.

Dipan
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Re: Prove me wrong

Unread post by Dipan » Sat Nov 26, 2011 7:28 am

thanks Hasib and Mahi.....now this is clear to me......

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nafistiham
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Re: Prove me wrong

Unread post by nafistiham » Sat Nov 26, 2011 6:41 pm

আমার মনে হয় $0 ^ {-1}$ যে কেন undefined তার একটা বিশদ আলোচনা প্রতি ক্লাসে একটু একটু করে থাকা উচিত । কারন, কেউ ভাগ শিখার সাথে সাথেই এই সমস্যার সম্মুখীন হয় । অথচ তাকে পুরোপুরি না বুঝিয়ে মুখস্ত করতে বলা হয় । তার পরও না বুঝার কারনে আমরা কত সমীকরণ ভুলভাবে তৈরি করি, আর ভুলটা বদ্ধমূল হতে থাকে ।
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Introduction:
Nafis Tiham
CSE Dept. SUST -HSC 14'
http://www.facebook.com/nafistiham
nafistiham@gmail

MATHPRITOM
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Re: Prove me wrong

Unread post by MATHPRITOM » Sat Nov 26, 2011 8:12 pm

by courtesy of Zafar Iqbal sir.
for details see page 12,13,14,15 of his book "Goniter moja,mojar gonit."
look,now, we want to find the value of 1/0.
1/1=+1;
1/0.1=+10,
1/0.01=+100,
1/0.001=+1000,
so,we can say,when it is 1/0=+${\infty}$

but,1/-1=-1;
1/-0.1=-10,
1/-0.01=-100,
1/-0.001=-1000,
so,we can say,when it is 1/0=-${\infty}$;;
but,what is this......we got 2 different result of 1/0 ;one is +${\infty}$ & another is -${\infty}$;;so,1/0 is undefined.

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