- I have learned that 1 0 is infinity, why isnt it minus infinity?
92 The other comments are correct: 1 0 1 0 is undefined Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined However, if you take the limit of 1 x 1 x as x x approaches zero from the left or from the right, you get negative and positive infinity respectively
- definition - Why is $x^0 = 1$ except when $x = 0$? - Mathematics Stack . . .
But if x = 0 x = 0 then xb x b is zero and so this argument doesn't tell you anything about what you should define x0 x 0 to be A similar argument should convince you that when x x is not zero then x−a x a should be defined as 1 xa 1 x a
- How do I explain 2 to the power of zero equals 1 to a child
The exponent 0 0 provides 0 0 power (i e gives no power of transformation), so 30 3 0 gives no power of transformation to the number 1 1, so 30 = 1 3 0 = 1 Once you have the intuitive understanding, you can use the simple rules with confidence
- Prove that $mn lt; 0 \iff m - Mathematics Stack Exchange
Prove that mn <0 m n <0 if and only if m> 0 m> 0 and n <0 n <0 or m <0 m <0 and n> 0 n> 0 m, n m, n element of integers Just starting out teaching myself discrete math still really bad at proofs, any help advice on how to think go about this would be greatly appreciated
- Definition of $L^0$ space - Mathematics Stack Exchange
L0 L 0 is just a notation to refer to the weakness of the topology of convergence in measure It is not locally bounded but is metrizable if the underlying measure space is non-atomic and σ σ -finite
- Does negative zero exist? - Mathematics Stack Exchange
In the set of real numbers, there is no negative zero However, can you please verify if and why this is so? Is zero inherently "neutral"?
- Seeking elegant proof why 0 divided by 0 does not equal 1
10 Several years ago I was bored and so for amusement I wrote out a proof that 0 0 does not equal 1 I began by assuming that 0 0 does equal 1 and then was eventually able to deduce that, based upon my assumption (which as we know was false) 0 = 1
- Why is $0^i$ undefined? - Mathematics Stack Exchange
When it comes to x x being a real number (or more generally, an element of a monoid in ⋅,,) defining xn x n is very straightforward if n n is a natural number (or 0, 0, but in higher-level mathematics, 0 0 is, more often than not, also treated as a natural number)
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