I want to prove that gcd divides \gcd(a,b)\gcd(a,c) but I can't succeed.
I tried to go with \gcd(a,b) = sa+tb and it didn't work, tried to use the fact that \gcd(a,b) and \gcd (a,c) divide \gcd (a,bc) but got stuck again.
please help.
How to find \lim_{h\rightarrow 0}\frac{\sin(ha)}{h} without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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