I know that ,
$4) 0 \times(\pm\infty) $ are Indeterminate forms.
But in measure theory $ 0 \times(\pm\infty) =0 $
Are there any other indeterminate forms ? And Why ?
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The following is a list of indeterminate forms usually encountered:
$$0 \cdot \infty$$ $$0^0$$ $$\infty - \infty$$ $$\infty^0$$ $$1^\infty$$
Why are they indeterminate?
Just in case this turns out to be helpful:
The sources of these images are: 1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf
In case, you are starting off learning about indeterminate forms I suggest taking a look at the pdf above. Hope this helps.
Here are 7 indeterminate forms involving 0, 1, and ∞ that arise when evaluating limits
— Fermat's Library (@fermatslibrary) December 24, 2020
These are popularly known as the seven deadly sins of calculus.