Tuesday, 16 August 2016

elementary number theory - Bezout's lemma in Euclidean Domains

I'm wanting to show that given an ED R whose identity is 1, and two elements a,bR whose gcd is a unit, that x,yR st ax+by=1. Caveat-- I don't want to utilize the notion of a PID, or of ideals at all directly. Any hints on how to do this?

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...