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2d
comment Why these arguments for $\frac 00=0$ are not valid?
where it is defined to be $0$?
2d
revised Why these arguments for $\frac 00=0$ are not valid?
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2d
comment Why these arguments for $\frac 00=0$ are not valid?
No, the limit is not 0, but why it should? $0^0$ is 1, but one can find limits that produce something different.
2d
comment Why these arguments for $\frac 00=0$ are not valid?
@Clement C. the answer by rgrig points why 0/0 cannot be 1. From his answer it follows 0/0=0 is well possible.
2d
revised Why these arguments for $\frac 00=0$ are not valid?
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2d
comment Why these arguments for $\frac 00=0$ are not valid?
@Clement C.I generalized the answers there to Cauchy principal value here. They said it breaks x/x=1, but if we take mean between -x/x and x/x, this does not break
2d
comment Why these arguments for $\frac 00=0$ are not valid?
@Clement C. I already saw that question, that's why I ask this one. How it is duplicate?
2d
comment Explanation of method for showing that 0 / 0 is undefined
So u claim $0\ne -0$ based on analogy with other numbers? See here: math.stackexchange.com/questions/1071821/…
2d
asked Why these arguments for $\frac 00=0$ are not valid?
2d
comment Explanation of method for showing that 0 / 0 is undefined
@5xum the first one follows from the algebraic properties of 0, the second one follows from the property $x\ne-x$. We know that $x\ne-x$ for all real numbers except 0, but this does not mean the same should be preserved in 0.
2d
comment Explanation of method for showing that 0 / 0 is undefined
@5xum in that set 1 has different properties than in real numbers. In real numbers, if x/x =1(real), then $x\ne-x$, because $1\ne-1$. If in a set 1=-1, then this condition does not apply.
2d
comment Explanation of method for showing that 0 / 0 is undefined
@5xum because $x/-x=-1$. Thus since $0/0=0/(-0)$, the solution of $x=0/0$ should satisfy $x=-x$. It can be only either unsigned infinity or 0.
2d
comment Explanation of method for showing that 0 / 0 is undefined
The second equality is only true if $$x\ne(-x)$$ Zero does not satisfy this, so only the first one is correct.
Dec
15
accepted Formula for tangent derivatives, how to prove?
Dec
15
revised Fractional derivatives of delta function $ \delta (x) $
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Dec
15
answered Fractional derivatives of delta function $ \delta (x) $
Dec
15
answered Do fractional derivatives maintain the $[fg]'=f'g+g'f$ and $f(g(x))'=f'(g(x))\cdot g'(x)$ rules?
Dec
15
asked Formula for tangent derivatives, how to prove?
Dec
9
comment Series diverging to infinity and series converging to infinity - is there a difference?
@rank no. Sequence of 1+1+1+1+... diverges to infinity. But can be summed up to -1/2. I wonder whether there are separate series about which one can say that they converge to infinity.
Dec
9
revised Series diverging to infinity and series converging to infinity - is there a difference?
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