Friday, 27 February 2015

galois theory - Proving that mathbbQ adjoin the square root of every prime is an infinite extension

How would one show that [Q(2,3,...,pn,...)]=? I know that we want to show there is no finite basis over the rationals, but I'm not sure how one would determine that such a basis does not exist.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...