Sunday, 6 April 2014

calculus - Show $frac{sin(x)}{x}>cos(x)$ for $0

I'm trying to show the inequality $$\frac{\sin(x)}{x}>\cos(x)$$ by for $0

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

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}...