Let a,b,c,d positive real numbers such that$a+b and$(a+b)(c+d).Prove that$(a+b)cd>(c+d)ab$
Source: book on olympiadsI tried manipulating the given statements and i obtained$3abTo use this i would need to show that $cd<3(a+b)$ but i am stuck.
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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