Why is 0^0 undefined? (1 Viewer)

[shaon0]

Is it because:
Let b=0
Assume b^b=x
b.ln(b)=ln(x)
0.ln(0)=ln(x)
And ln(0) is undefined since x=0 is an asymptote in a natural logarithmic function.
Thus, 0.Undefined=Undefined.
Therefore, 0^0 is undefined.

---I'm just wondering..

 

[IMABOYDAMON!]

Is it because:
Let b=0
Assume b^b=x
b.ln(b)=ln(x)
0.ln(0)=ln(x)
And ln(0) is undefined since x=0 is an asymptote in a natural logarithmic function.
Thus, 0.Undefined=Undefined.
Therefore, 0^0 is undefined.

---I'm just wondering..

You officially know you're a maths nerd when you begin to question theorems.

 

[shaon0]

You officially know you're a maths nerd when you begin to question theorems.

lol....but seriously. Is that the reason? Why doesn't the 0.Undefined=0?

 

[lyounamu]

Is it because:
Let b=0
Assume b^b=x
b.ln(b)=ln(x)
0.ln(0)=ln(x)
And ln(0) is undefined since x=0 is an asymptote in a natural logarithmic function.
Thus, 0.Undefined=Undefined.
Therefore, 0^0 is undefined.

---I'm just wondering..

Let y = 0
Therefore, y^y = x where x is any number greater than 0.
y = lny (x)
Since lny (x) =/= 0, y=/=0, which means that y^y is impossible (or o^o is impossible).

 

[shaon0]

Let y = 0
Therefore, y^y = x where x is any number greater than 0.
y = lny (x)
Since lny (x) =/= 0, y=/=0, which means that y^y is impossible (or o^o is impossible).

Is the proof i wrote the same thing?

 

[Zephyrio]

Because 0 =/= 1.

 

[shaon0]

the proof is wrong

http://en.wikipedia.org/wiki/Exponentiation#Zero_to_the_zero_power

0^0 = 1 sometimes as well, depends on context

So it depends on the mathematical perspective you take to the problem....Ok.
But then we could just say, 1 or undefined=0^0...just out of convenience.

 

[shaon0]

yeah pretty much

Suppose (0^0)^2=1.
Can i say: 0^0=i?

 

[shaon0]

heres a previous thread, where it was mentioned:

http://community.boredofstudies.org/showthread.php?t=169545

lol....i provided the proof for x^0=1 but 0^0 is completely different.

 

[shaon0]

Oh ok.

 

[Affinity]

These kind of questions are more about what you want to define things as..
you can even define 0^0 = 3.5 if you want to..

 

[cooldudehack]

lets no question maths... its gay because its unique!

worry about Qs like that if it interferes when ur paying your bills or buying food from coles

 

[Affinity]

lets no question maths... its gay because its unique!

worry about Qs like that if it interferes when ur paying your bills or buying food from coles

I am sure most people here will have no problem with answering those ones..