Tuesday, 10 April 2018

sequences and series - Prove for a triangle whose side are in AP

If the sides of a triangle are in AP and the greatest angle exceeds the smallest angle by a show that the sides are in the ratio 1 - X :1: 1 + X where X = √((1- cos a)(7-cos a))

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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}...